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Finding the Fourth Proportional to 862.04, 1,293.06 and 314.30

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Solution

The fourth proportional to 862.04, 1,293.06 and 314.30 is: 471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.04 : 1,293.06 = 314.30 : x
  2. Step 2: Convert to fraction form
    862.04/1,293.06 = 314.30/x
  3. Step 3: Cross multiply
    862.04x = 1,293.06 × 314.30
  4. Step 4: Simplify right side
    862.04x = 406,408.76
  5. Step 5: Solve for x
    x = 406,408.76/862.04
  6. Step 6: Final answer
    x = 471.45

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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.