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Finding the Fourth Proportional to 460.72, 636.03 and 355.57

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Solution

The fourth proportional to 460.72, 636.03 and 355.57 is: 490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.72 : 636.03 = 355.57 : x
  2. Step 2: Convert to fraction form
    460.72/636.03 = 355.57/x
  3. Step 3: Cross multiply
    460.72x = 636.03 × 355.57
  4. Step 4: Simplify right side
    460.72x = 226,154.78
  5. Step 5: Solve for x
    x = 226,154.78/460.72
  6. Step 6: Final answer
    x = 490.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.