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Finding the Fourth Proportional to 460.35, 635.10 and 294.54

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Solution

The fourth proportional to 460.35, 635.10 and 294.54 is: 406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.35 : 635.10 = 294.54 : x
  2. Step 2: Convert to fraction form
    460.35/635.10 = 294.54/x
  3. Step 3: Cross multiply
    460.35x = 635.10 × 294.54
  4. Step 4: Simplify right side
    460.35x = 187,062.35
  5. Step 5: Solve for x
    x = 187,062.35/460.35
  6. Step 6: Final answer
    x = 406.35

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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.