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Finding the Fourth Proportional to 596.34, 822.87 and 330.75

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Solution

The fourth proportional to 596.34, 822.87 and 330.75 is: 456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.34 : 822.87 = 330.75 : x
  2. Step 2: Convert to fraction form
    596.34/822.87 = 330.75/x
  3. Step 3: Cross multiply
    596.34x = 822.87 × 330.75
  4. Step 4: Simplify right side
    596.34x = 272,164.25
  5. Step 5: Solve for x
    x = 272,164.25/596.34
  6. Step 6: Final answer
    x = 456.39

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Double scale
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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.