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Finding the Fourth Proportional to 474.11, 710.24 and 311.30

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Solution

The fourth proportional to 474.11, 710.24 and 311.30 is: 466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.11 : 710.24 = 311.30 : x
  2. Step 2: Convert to fraction form
    474.11/710.24 = 311.30/x
  3. Step 3: Cross multiply
    474.11x = 710.24 × 311.30
  4. Step 4: Simplify right side
    474.11x = 221,097.71
  5. Step 5: Solve for x
    x = 221,097.71/474.11
  6. Step 6: Final answer
    x = 466.34

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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.