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Finding the Fourth Proportional to 596.17, 822.72 and 347.53

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Solution

The fourth proportional to 596.17, 822.72 and 347.53 is: 479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.17 : 822.72 = 347.53 : x
  2. Step 2: Convert to fraction form
    596.17/822.72 = 347.53/x
  3. Step 3: Cross multiply
    596.17x = 822.72 × 347.53
  4. Step 4: Simplify right side
    596.17x = 285,919.88
  5. Step 5: Solve for x
    x = 285,919.88/596.17
  6. Step 6: Final answer
    x = 479.59

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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.