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Finding the Fourth Proportional to 624.28, 861.56 and 432.94

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Solution

The fourth proportional to 624.28, 861.56 and 432.94 is: 597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.28 : 861.56 = 432.94 : x
  2. Step 2: Convert to fraction form
    624.28/861.56 = 432.94/x
  3. Step 3: Cross multiply
    624.28x = 861.56 × 432.94
  4. Step 4: Simplify right side
    624.28x = 373,003.79
  5. Step 5: Solve for x
    x = 373,003.79/624.28
  6. Step 6: Final answer
    x = 597.49

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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.