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Finding the Fourth Proportional to 518.52, 715.59 and 285.65

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Solution

The fourth proportional to 518.52, 715.59 and 285.65 is: 394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.52 : 715.59 = 285.65 : x
  2. Step 2: Convert to fraction form
    518.52/715.59 = 285.65/x
  3. Step 3: Cross multiply
    518.52x = 715.59 × 285.65
  4. Step 4: Simplify right side
    518.52x = 204,404.71
  5. Step 5: Solve for x
    x = 204,404.71/518.52
  6. Step 6: Final answer
    x = 394.21

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Why These Related Problems?

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