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Finding the Fourth Proportional to 713.55, 985.52 and 477.09

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Solution

The fourth proportional to 713.55, 985.52 and 477.09 is: 658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.55 : 985.52 = 477.09 : x
  2. Step 2: Convert to fraction form
    713.55/985.52 = 477.09/x
  3. Step 3: Cross multiply
    713.55x = 985.52 × 477.09
  4. Step 4: Simplify right side
    713.55x = 470,179.35
  5. Step 5: Solve for x
    x = 470,179.35/713.55
  6. Step 6: Final answer
    x = 658.93

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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.