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Finding the Fourth Proportional to 460.03, 634.82 and 260.86

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Solution

The fourth proportional to 460.03, 634.82 and 260.86 is: 359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.03 : 634.82 = 260.86 : x
  2. Step 2: Convert to fraction form
    460.03/634.82 = 260.86/x
  3. Step 3: Cross multiply
    460.03x = 634.82 × 260.86
  4. Step 4: Simplify right side
    460.03x = 165,599.61
  5. Step 5: Solve for x
    x = 165,599.61/460.03
  6. Step 6: Final answer
    x = 359.98

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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.