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Finding the Fourth Proportional to 434.72, 656.24 and 432.29

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Solution

The fourth proportional to 434.72, 656.24 and 432.29 is: 652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.72 : 656.24 = 432.29 : x
  2. Step 2: Convert to fraction form
    434.72/656.24 = 432.29/x
  3. Step 3: Cross multiply
    434.72x = 656.24 × 432.29
  4. Step 4: Simplify right side
    434.72x = 283,680.55
  5. Step 5: Solve for x
    x = 283,680.55/434.72
  6. Step 6: Final answer
    x = 652.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.