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Finding the Fourth Proportional to 474.39, 712.13 and 282.42

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Solution

The fourth proportional to 474.39, 712.13 and 282.42 is: 423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.39 : 712.13 = 282.42 : x
  2. Step 2: Convert to fraction form
    474.39/712.13 = 282.42/x
  3. Step 3: Cross multiply
    474.39x = 712.13 × 282.42
  4. Step 4: Simplify right side
    474.39x = 201,118.34
  5. Step 5: Solve for x
    x = 201,118.34/474.39
  6. Step 6: Final answer
    x = 423.95

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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.