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Finding the Fourth Proportional to 715.24, 987.17 and 420.69

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Solution

The fourth proportional to 715.24, 987.17 and 420.69 is: 580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.24 : 987.17 = 420.69 : x
  2. Step 2: Convert to fraction form
    715.24/987.17 = 420.69/x
  3. Step 3: Cross multiply
    715.24x = 987.17 × 420.69
  4. Step 4: Simplify right side
    715.24x = 415,292.55
  5. Step 5: Solve for x
    x = 415,292.55/715.24
  6. Step 6: Final answer
    x = 580.63

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