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Finding the Fourth Proportional to 424.74, 636.71 and 208.47

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Solution

The fourth proportional to 424.74, 636.71 and 208.47 is: 312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.74 : 636.71 = 208.47 : x
  2. Step 2: Convert to fraction form
    424.74/636.71 = 208.47/x
  3. Step 3: Cross multiply
    424.74x = 636.71 × 208.47
  4. Step 4: Simplify right side
    424.74x = 132,733.89
  5. Step 5: Solve for x
    x = 132,733.89/424.74
  6. Step 6: Final answer
    x = 312.51

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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.