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Finding the Fourth Proportional to 713.14, 984.13 and 418.35

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Solution

The fourth proportional to 713.14, 984.13 and 418.35 is: 577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.14 : 984.13 = 418.35 : x
  2. Step 2: Convert to fraction form
    713.14/984.13 = 418.35/x
  3. Step 3: Cross multiply
    713.14x = 984.13 × 418.35
  4. Step 4: Simplify right side
    713.14x = 411,710.79
  5. Step 5: Solve for x
    x = 411,710.79/713.14
  6. Step 6: Final answer
    x = 577.32

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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.