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Finding the Fourth Proportional to 474.14, 711.75 and 282.17

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Solution

The fourth proportional to 474.14, 711.75 and 282.17 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.14 : 711.75 = 282.17 : x
  2. Step 2: Convert to fraction form
    474.14/711.75 = 282.17/x
  3. Step 3: Cross multiply
    474.14x = 711.75 × 282.17
  4. Step 4: Simplify right side
    474.14x = 200,834.50
  5. Step 5: Solve for x
    x = 200,834.50/474.14
  6. Step 6: Final answer
    x = 423.58

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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.