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Finding the Fourth Proportional to 474.71, 712.07 and 150.08

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Solution

The fourth proportional to 474.71, 712.07 and 150.08 is: 225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.71 : 712.07 = 150.08 : x
  2. Step 2: Convert to fraction form
    474.71/712.07 = 150.08/x
  3. Step 3: Cross multiply
    474.71x = 712.07 × 150.08
  4. Step 4: Simplify right side
    474.71x = 106,867.47
  5. Step 5: Solve for x
    x = 106,867.47/474.71
  6. Step 6: Final answer
    x = 225.12

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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.