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Finding the Fourth Proportional to 460.55, 635.39 and 294.74

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Solution

The fourth proportional to 460.55, 635.39 and 294.74 is: 406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.55 : 635.39 = 294.74 : x
  2. Step 2: Convert to fraction form
    460.55/635.39 = 294.74/x
  3. Step 3: Cross multiply
    460.55x = 635.39 × 294.74
  4. Step 4: Simplify right side
    460.55x = 187,274.85
  5. Step 5: Solve for x
    x = 187,274.85/460.55
  6. Step 6: Final answer
    x = 406.63

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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.