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Finding the Fourth Proportional to 460.93, 636.07 and 251.10

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Solution

The fourth proportional to 460.93, 636.07 and 251.10 is: 346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.93 : 636.07 = 251.10 : x
  2. Step 2: Convert to fraction form
    460.93/636.07 = 251.10/x
  3. Step 3: Cross multiply
    460.93x = 636.07 × 251.10
  4. Step 4: Simplify right side
    460.93x = 159,715.92
  5. Step 5: Solve for x
    x = 159,715.92/460.93
  6. Step 6: Final answer
    x = 346.51

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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.