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Finding the Fourth Proportional to 474.52, 711.96 and 312.88

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Solution

The fourth proportional to 474.52, 711.96 and 312.88 is: 469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.52 : 711.96 = 312.88 : x
  2. Step 2: Convert to fraction form
    474.52/711.96 = 312.88/x
  3. Step 3: Cross multiply
    474.52x = 711.96 × 312.88
  4. Step 4: Simplify right side
    474.52x = 222,758.04
  5. Step 5: Solve for x
    x = 222,758.04/474.52
  6. Step 6: Final answer
    x = 469.44

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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.