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Finding the Fourth Proportional to 596.29, 822.93 and 330.76

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Solution

The fourth proportional to 596.29, 822.93 and 330.76 is: 456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.29 : 822.93 = 330.76 : x
  2. Step 2: Convert to fraction form
    596.29/822.93 = 330.76/x
  3. Step 3: Cross multiply
    596.29x = 822.93 × 330.76
  4. Step 4: Simplify right side
    596.29x = 272,187.49
  5. Step 5: Solve for x
    x = 272,187.49/596.29
  6. Step 6: Final answer
    x = 456.47

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.