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Finding the Fourth Proportional to 424.47, 635.79 and 204.77

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Solution

The fourth proportional to 424.47, 635.79 and 204.77 is: 306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.47 : 635.79 = 204.77 : x
  2. Step 2: Convert to fraction form
    424.47/635.79 = 204.77/x
  3. Step 3: Cross multiply
    424.47x = 635.79 × 204.77
  4. Step 4: Simplify right side
    424.47x = 130,193.08
  5. Step 5: Solve for x
    x = 130,193.08/424.47
  6. Step 6: Final answer
    x = 306.72

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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.