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Finding the Fourth Proportional to 474.21, 711.17 and 145.13

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Solution

The fourth proportional to 474.21, 711.17 and 145.13 is: 217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.21 : 711.17 = 145.13 : x
  2. Step 2: Convert to fraction form
    474.21/711.17 = 145.13/x
  3. Step 3: Cross multiply
    474.21x = 711.17 × 145.13
  4. Step 4: Simplify right side
    474.21x = 103,212.10
  5. Step 5: Solve for x
    x = 103,212.10/474.21
  6. Step 6: Final answer
    x = 217.65

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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.