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Finding the Fourth Proportional to 424.95, 637.57 and 242.70

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Solution

The fourth proportional to 424.95, 637.57 and 242.70 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.95 : 637.57 = 242.70 : x
  2. Step 2: Convert to fraction form
    424.95/637.57 = 242.70/x
  3. Step 3: Cross multiply
    424.95x = 637.57 × 242.70
  4. Step 4: Simplify right side
    424.95x = 154,736.15
  5. Step 5: Solve for x
    x = 154,736.15/424.95
  6. Step 6: Final answer
    x = 364.13

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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.