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Finding the Fourth Proportional to 616.80, 922.32 and 432.90

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Solution

The fourth proportional to 616.80, 922.32 and 432.90 is: 647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.80 : 922.32 = 432.90 : x
  2. Step 2: Convert to fraction form
    616.80/922.32 = 432.90/x
  3. Step 3: Cross multiply
    616.80x = 922.32 × 432.90
  4. Step 4: Simplify right side
    616.80x = 399,272.33
  5. Step 5: Solve for x
    x = 399,272.33/616.80
  6. Step 6: Final answer
    x = 647.33

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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.