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Finding the Fourth Proportional to 474.66, 711.96 and 292.14

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Solution

The fourth proportional to 474.66, 711.96 and 292.14 is: 438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.66 : 711.96 = 292.14 : x
  2. Step 2: Convert to fraction form
    474.66/711.96 = 292.14/x
  3. Step 3: Cross multiply
    474.66x = 711.96 × 292.14
  4. Step 4: Simplify right side
    474.66x = 207,991.99
  5. Step 5: Solve for x
    x = 207,991.99/474.66
  6. Step 6: Final answer
    x = 438.19

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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.