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Finding the Fourth Proportional to 354.48, 531.88 and 268.24

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Solution

The fourth proportional to 354.48, 531.88 and 268.24 is: 402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.48 : 531.88 = 268.24 : x
  2. Step 2: Convert to fraction form
    354.48/531.88 = 268.24/x
  3. Step 3: Cross multiply
    354.48x = 531.88 × 268.24
  4. Step 4: Simplify right side
    354.48x = 142,671.49
  5. Step 5: Solve for x
    x = 142,671.49/354.48
  6. Step 6: Final answer
    x = 402.48

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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.