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Finding the Fourth Proportional to 460.93, 691.64 and 244.46

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Solution

The fourth proportional to 460.93, 691.64 and 244.46 is: 366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.93 : 691.64 = 244.46 : x
  2. Step 2: Convert to fraction form
    460.93/691.64 = 244.46/x
  3. Step 3: Cross multiply
    460.93x = 691.64 × 244.46
  4. Step 4: Simplify right side
    460.93x = 169,078.31
  5. Step 5: Solve for x
    x = 169,078.31/460.93
  6. Step 6: Final answer
    x = 366.82

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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.