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Finding the Fourth Proportional to 460.68, 690.39 and 244.14

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Solution

The fourth proportional to 460.68, 690.39 and 244.14 is: 365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.68 : 690.39 = 244.14 : x
  2. Step 2: Convert to fraction form
    460.68/690.39 = 244.14/x
  3. Step 3: Cross multiply
    460.68x = 690.39 × 244.14
  4. Step 4: Simplify right side
    460.68x = 168,551.81
  5. Step 5: Solve for x
    x = 168,551.81/460.68
  6. Step 6: Final answer
    x = 365.88

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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.