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Finding the Fourth Proportional to 516.72, 709.80 and 428.88

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Solution

The fourth proportional to 516.72, 709.80 and 428.88 is: 589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 709.80 = 428.88 : x
  2. Step 2: Convert to fraction form
    516.72/709.80 = 428.88/x
  3. Step 3: Cross multiply
    516.72x = 709.80 × 428.88
  4. Step 4: Simplify right side
    516.72x = 304,419.02
  5. Step 5: Solve for x
    x = 304,419.02/516.72
  6. Step 6: Final answer
    x = 589.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.