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Finding the Fourth Proportional to 516.91, 775.47 and 286.13

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Solution

The fourth proportional to 516.91, 775.47 and 286.13 is: 429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.91 : 775.47 = 286.13 : x
  2. Step 2: Convert to fraction form
    516.91/775.47 = 286.13/x
  3. Step 3: Cross multiply
    516.91x = 775.47 × 286.13
  4. Step 4: Simplify right side
    516.91x = 221,888.24
  5. Step 5: Solve for x
    x = 221,888.24/516.91
  6. Step 6: Final answer
    x = 429.26

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Why These Related Problems?

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