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Finding the Fourth Proportional to 435.16, 652.28 and 270.62

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Solution

The fourth proportional to 435.16, 652.28 and 270.62 is: 405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.16 : 652.28 = 270.62 : x
  2. Step 2: Convert to fraction form
    435.16/652.28 = 270.62/x
  3. Step 3: Cross multiply
    435.16x = 652.28 × 270.62
  4. Step 4: Simplify right side
    435.16x = 176,520.29
  5. Step 5: Solve for x
    x = 176,520.29/435.16
  6. Step 6: Final answer
    x = 405.65

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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.