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Finding the Fourth Proportional to 460.48, 689.64 and 338.44

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Solution

The fourth proportional to 460.48, 689.64 and 338.44 is: 506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.48 : 689.64 = 338.44 : x
  2. Step 2: Convert to fraction form
    460.48/689.64 = 338.44/x
  3. Step 3: Cross multiply
    460.48x = 689.64 × 338.44
  4. Step 4: Simplify right side
    460.48x = 233,401.76
  5. Step 5: Solve for x
    x = 233,401.76/460.48
  6. Step 6: Final answer
    x = 506.87

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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.