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Finding the Fourth Proportional to 374.28, 560.38 and 282.70

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Solution

The fourth proportional to 374.28, 560.38 and 282.70 is: 423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.28 : 560.38 = 282.70 : x
  2. Step 2: Convert to fraction form
    374.28/560.38 = 282.70/x
  3. Step 3: Cross multiply
    374.28x = 560.38 × 282.70
  4. Step 4: Simplify right side
    374.28x = 158,419.43
  5. Step 5: Solve for x
    x = 158,419.43/374.28
  6. Step 6: Final answer
    x = 423.26

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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.