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Finding the Fourth Proportional to 862.30, 1,293.64 and 314.48

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Solution

The fourth proportional to 862.30, 1,293.64 and 314.48 is: 471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.30 : 1,293.64 = 314.48 : x
  2. Step 2: Convert to fraction form
    862.30/1,293.64 = 314.48/x
  3. Step 3: Cross multiply
    862.30x = 1,293.64 × 314.48
  4. Step 4: Simplify right side
    862.30x = 406,828.35
  5. Step 5: Solve for x
    x = 406,828.35/862.30
  6. Step 6: Final answer
    x = 471.79

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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.