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Finding the Fourth Proportional to 460.50, 635.23 and 294.42

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Solution

The fourth proportional to 460.50, 635.23 and 294.42 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.50 : 635.23 = 294.42 : x
  2. Step 2: Convert to fraction form
    460.50/635.23 = 294.42/x
  3. Step 3: Cross multiply
    460.50x = 635.23 × 294.42
  4. Step 4: Simplify right side
    460.50x = 187,024.42
  5. Step 5: Solve for x
    x = 187,024.42/460.50
  6. Step 6: Final answer
    x = 406.13

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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.