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Finding the Fourth Proportional to 474.31, 711.69 and 230.66

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Solution

The fourth proportional to 474.31, 711.69 and 230.66 is: 346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.31 : 711.69 = 230.66 : x
  2. Step 2: Convert to fraction form
    474.31/711.69 = 230.66/x
  3. Step 3: Cross multiply
    474.31x = 711.69 × 230.66
  4. Step 4: Simplify right side
    474.31x = 164,157.66
  5. Step 5: Solve for x
    x = 164,157.66/474.31
  6. Step 6: Final answer
    x = 346.10

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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.