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Finding the Fourth Proportional to 715.60, 987.42 and 420.96

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Solution

The fourth proportional to 715.60, 987.42 and 420.96 is: 580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.60 : 987.42 = 420.96 : x
  2. Step 2: Convert to fraction form
    715.60/987.42 = 420.96/x
  3. Step 3: Cross multiply
    715.60x = 987.42 × 420.96
  4. Step 4: Simplify right side
    715.60x = 415,664.32
  5. Step 5: Solve for x
    x = 415,664.32/715.60
  6. Step 6: Final answer
    x = 580.86

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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.