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Finding the Fourth Proportional to 423.18, 634.22 and 287.10

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Solution

The fourth proportional to 423.18, 634.22 and 287.10 is: 430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.18 : 634.22 = 287.10 : x
  2. Step 2: Convert to fraction form
    423.18/634.22 = 287.10/x
  3. Step 3: Cross multiply
    423.18x = 634.22 × 287.10
  4. Step 4: Simplify right side
    423.18x = 182,084.56
  5. Step 5: Solve for x
    x = 182,084.56/423.18
  6. Step 6: Final answer
    x = 430.28

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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.