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Finding the Fourth Proportional to 423.14, 634.70 and 354.02

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Solution

The fourth proportional to 423.14, 634.70 and 354.02 is: 531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.14 : 634.70 = 354.02 : x
  2. Step 2: Convert to fraction form
    423.14/634.70 = 354.02/x
  3. Step 3: Cross multiply
    423.14x = 634.70 × 354.02
  4. Step 4: Simplify right side
    423.14x = 224,696.49
  5. Step 5: Solve for x
    x = 224,696.49/423.14
  6. Step 6: Final answer
    x = 531.02

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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.