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Finding the Fourth Proportional to 487.39, 733.84 and 429.97

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Solution

The fourth proportional to 487.39, 733.84 and 429.97 is: 647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.39 : 733.84 = 429.97 : x
  2. Step 2: Convert to fraction form
    487.39/733.84 = 429.97/x
  3. Step 3: Cross multiply
    487.39x = 733.84 × 429.97
  4. Step 4: Simplify right side
    487.39x = 315,529.18
  5. Step 5: Solve for x
    x = 315,529.18/487.39
  6. Step 6: Final answer
    x = 647.39

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