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Finding the Fourth Proportional to 865.68, 1,298 and 310.12

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Solution

The fourth proportional to 865.68, 1,298 and 310.12 is: 464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.68 : 1,298 = 310.12 : x
  2. Step 2: Convert to fraction form
    865.68/1,298 = 310.12/x
  3. Step 3: Cross multiply
    865.68x = 1,298 × 310.12
  4. Step 4: Simplify right side
    865.68x = 402,535.76
  5. Step 5: Solve for x
    x = 402,535.76/865.68
  6. Step 6: Final answer
    x = 464.99

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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.