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Finding the Fourth Proportional to 424.47, 636.33 and 204.99

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Solution

The fourth proportional to 424.47, 636.33 and 204.99 is: 307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.47 : 636.33 = 204.99 : x
  2. Step 2: Convert to fraction form
    424.47/636.33 = 204.99/x
  3. Step 3: Cross multiply
    424.47x = 636.33 × 204.99
  4. Step 4: Simplify right side
    424.47x = 130,441.29
  5. Step 5: Solve for x
    x = 130,441.29/424.47
  6. Step 6: Final answer
    x = 307.30

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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.