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Finding the Fourth Proportional to 425.52, 637.74 and 242.73

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Solution

The fourth proportional to 425.52, 637.74 and 242.73 is: 363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.52 : 637.74 = 242.73 : x
  2. Step 2: Convert to fraction form
    425.52/637.74 = 242.73/x
  3. Step 3: Cross multiply
    425.52x = 637.74 × 242.73
  4. Step 4: Simplify right side
    425.52x = 154,798.63
  5. Step 5: Solve for x
    x = 154,798.63/425.52
  6. Step 6: Final answer
    x = 363.79

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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.