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Finding the Fourth Proportional to 715.57, 987.41 and 420.82

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Solution

The fourth proportional to 715.57, 987.41 and 420.82 is: 580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.57 : 987.41 = 420.82 : x
  2. Step 2: Convert to fraction form
    715.57/987.41 = 420.82/x
  3. Step 3: Cross multiply
    715.57x = 987.41 × 420.82
  4. Step 4: Simplify right side
    715.57x = 415,520.46
  5. Step 5: Solve for x
    x = 415,520.46/715.57
  6. Step 6: Final answer
    x = 580.69

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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.