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Finding the Fourth Proportional to 715.25, 987.14 and 404.75

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Solution

The fourth proportional to 715.25, 987.14 and 404.75 is: 558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.25 : 987.14 = 404.75 : x
  2. Step 2: Convert to fraction form
    715.25/987.14 = 404.75/x
  3. Step 3: Cross multiply
    715.25x = 987.14 × 404.75
  4. Step 4: Simplify right side
    715.25x = 399,544.92
  5. Step 5: Solve for x
    x = 399,544.92/715.25
  6. Step 6: Final answer
    x = 558.61

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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.