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Finding the Fourth Proportional to 435.55, 652.02 and 281.17

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Solution

The fourth proportional to 435.55, 652.02 and 281.17 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.55 : 652.02 = 281.17 : x
  2. Step 2: Convert to fraction form
    435.55/652.02 = 281.17/x
  3. Step 3: Cross multiply
    435.55x = 652.02 × 281.17
  4. Step 4: Simplify right side
    435.55x = 183,328.46
  5. Step 5: Solve for x
    x = 183,328.46/435.55
  6. Step 6: Final answer
    x = 420.91

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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.