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Finding the Fourth Proportional to 715.48, 987.06 and 420.56

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Solution

The fourth proportional to 715.48, 987.06 and 420.56 is: 580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.48 : 987.06 = 420.56 : x
  2. Step 2: Convert to fraction form
    715.48/987.06 = 420.56/x
  3. Step 3: Cross multiply
    715.48x = 987.06 × 420.56
  4. Step 4: Simplify right side
    715.48x = 415,117.95
  5. Step 5: Solve for x
    x = 415,117.95/715.48
  6. Step 6: Final answer
    x = 580.20

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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.