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Finding the Fourth Proportional to 466.17, 698.93 and 260.61

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Solution

The fourth proportional to 466.17, 698.93 and 260.61 is: 390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.17 : 698.93 = 260.61 : x
  2. Step 2: Convert to fraction form
    466.17/698.93 = 260.61/x
  3. Step 3: Cross multiply
    466.17x = 698.93 × 260.61
  4. Step 4: Simplify right side
    466.17x = 182,146.84
  5. Step 5: Solve for x
    x = 182,146.84/466.17
  6. Step 6: Final answer
    x = 390.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.