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Finding the Fourth Proportional to 715.60, 987.38 and 420.66

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Solution

The fourth proportional to 715.60, 987.38 and 420.66 is: 580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.60 : 987.38 = 420.66 : x
  2. Step 2: Convert to fraction form
    715.60/987.38 = 420.66/x
  3. Step 3: Cross multiply
    715.60x = 987.38 × 420.66
  4. Step 4: Simplify right side
    715.60x = 415,351.27
  5. Step 5: Solve for x
    x = 415,351.27/715.60
  6. Step 6: Final answer
    x = 580.42

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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.