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Finding the Fourth Proportional to 516.12, 710.46 and 429

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Solution

The fourth proportional to 516.12, 710.46 and 429 is: 590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.12 : 710.46 = 429 : x
  2. Step 2: Convert to fraction form
    516.12/710.46 = 429/x
  3. Step 3: Cross multiply
    516.12x = 710.46 × 429
  4. Step 4: Simplify right side
    516.12x = 304,787.34
  5. Step 5: Solve for x
    x = 304,787.34/516.12
  6. Step 6: Final answer
    x = 590.54

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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.