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Finding the Fourth Proportional to 474.88, 713.68 and 398.32

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Solution

The fourth proportional to 474.88, 713.68 and 398.32 is: 598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.88 : 713.68 = 398.32 : x
  2. Step 2: Convert to fraction form
    474.88/713.68 = 398.32/x
  3. Step 3: Cross multiply
    474.88x = 713.68 × 398.32
  4. Step 4: Simplify right side
    474.88x = 284,273.02
  5. Step 5: Solve for x
    x = 284,273.02/474.88
  6. Step 6: Final answer
    x = 598.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.