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Finding the Fourth Proportional to 460.61, 635.73 and 295.23

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Solution

The fourth proportional to 460.61, 635.73 and 295.23 is: 407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.61 : 635.73 = 295.23 : x
  2. Step 2: Convert to fraction form
    460.61/635.73 = 295.23/x
  3. Step 3: Cross multiply
    460.61x = 635.73 × 295.23
  4. Step 4: Simplify right side
    460.61x = 187,686.57
  5. Step 5: Solve for x
    x = 187,686.57/460.61
  6. Step 6: Final answer
    x = 407.48

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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.