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Finding the Fourth Proportional to 424.61, 636.57 and 205.11

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Solution

The fourth proportional to 424.61, 636.57 and 205.11 is: 307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.61 : 636.57 = 205.11 : x
  2. Step 2: Convert to fraction form
    424.61/636.57 = 205.11/x
  3. Step 3: Cross multiply
    424.61x = 636.57 × 205.11
  4. Step 4: Simplify right side
    424.61x = 130,566.87
  5. Step 5: Solve for x
    x = 130,566.87/424.61
  6. Step 6: Final answer
    x = 307.50

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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.