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Finding the Fourth Proportional to 460.61, 635.64 and 271.54

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Solution

The fourth proportional to 460.61, 635.64 and 271.54 is: 374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.61 : 635.64 = 271.54 : x
  2. Step 2: Convert to fraction form
    460.61/635.64 = 271.54/x
  3. Step 3: Cross multiply
    460.61x = 635.64 × 271.54
  4. Step 4: Simplify right side
    460.61x = 172,601.69
  5. Step 5: Solve for x
    x = 172,601.69/460.61
  6. Step 6: Final answer
    x = 374.72

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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.