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Finding the Fourth Proportional to 435.28, 652.02 and 280.78

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Solution

The fourth proportional to 435.28, 652.02 and 280.78 is: 420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.28 : 652.02 = 280.78 : x
  2. Step 2: Convert to fraction form
    435.28/652.02 = 280.78/x
  3. Step 3: Cross multiply
    435.28x = 652.02 × 280.78
  4. Step 4: Simplify right side
    435.28x = 183,074.18
  5. Step 5: Solve for x
    x = 183,074.18/435.28
  6. Step 6: Final answer
    x = 420.59

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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.