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Finding the Fourth Proportional to 472.40, 708.60 and 432.40

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Solution

The fourth proportional to 472.40, 708.60 and 432.40 is: 648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.40 : 708.60 = 432.40 : x
  2. Step 2: Convert to fraction form
    472.40/708.60 = 432.40/x
  3. Step 3: Cross multiply
    472.40x = 708.60 × 432.40
  4. Step 4: Simplify right side
    472.40x = 306,398.64
  5. Step 5: Solve for x
    x = 306,398.64/472.40
  6. Step 6: Final answer
    x = 648.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.