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Finding the Fourth Proportional to 354.24, 488.76 and 237.78

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Solution

The fourth proportional to 354.24, 488.76 and 237.78 is: 328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 488.76 = 237.78 : x
  2. Step 2: Convert to fraction form
    354.24/488.76 = 237.78/x
  3. Step 3: Cross multiply
    354.24x = 488.76 × 237.78
  4. Step 4: Simplify right side
    354.24x = 116,217.35
  5. Step 5: Solve for x
    x = 116,217.35/354.24
  6. Step 6: Final answer
    x = 328.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.