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Finding the Fourth Proportional to 715.41, 987.12 and 416.52

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Solution

The fourth proportional to 715.41, 987.12 and 416.52 is: 574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.41 : 987.12 = 416.52 : x
  2. Step 2: Convert to fraction form
    715.41/987.12 = 416.52/x
  3. Step 3: Cross multiply
    715.41x = 987.12 × 416.52
  4. Step 4: Simplify right side
    715.41x = 411,155.22
  5. Step 5: Solve for x
    x = 411,155.22/715.41
  6. Step 6: Final answer
    x = 574.71

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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.