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Finding the Fourth Proportional to 519.12, 714.96 and 387.90

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Solution

The fourth proportional to 519.12, 714.96 and 387.90 is: 534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.12 : 714.96 = 387.90 : x
  2. Step 2: Convert to fraction form
    519.12/714.96 = 387.90/x
  3. Step 3: Cross multiply
    519.12x = 714.96 × 387.90
  4. Step 4: Simplify right side
    519.12x = 277,332.98
  5. Step 5: Solve for x
    x = 277,332.98/519.12
  6. Step 6: Final answer
    x = 534.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.