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Finding the Fourth Proportional to 515.52, 771.84 and 429.12

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Solution

The fourth proportional to 515.52, 771.84 and 429.12 is: 642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.52 : 771.84 = 429.12 : x
  2. Step 2: Convert to fraction form
    515.52/771.84 = 429.12/x
  3. Step 3: Cross multiply
    515.52x = 771.84 × 429.12
  4. Step 4: Simplify right side
    515.52x = 331,211.98
  5. Step 5: Solve for x
    x = 331,211.98/515.52
  6. Step 6: Final answer
    x = 642.48

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