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Finding the Fourth Proportional to 602.16, 832.05 and 472.16

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Solution

The fourth proportional to 602.16, 832.05 and 472.16 is: 652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 832.05 = 472.16 : x
  2. Step 2: Convert to fraction form
    602.16/832.05 = 472.16/x
  3. Step 3: Cross multiply
    602.16x = 832.05 × 472.16
  4. Step 4: Simplify right side
    602.16x = 392,856.57
  5. Step 5: Solve for x
    x = 392,856.57/602.16
  6. Step 6: Final answer
    x = 652.41

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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.