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Finding the Fourth Proportional to 862.35, 1,294.05 and 314.58

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Solution

The fourth proportional to 862.35, 1,294.05 and 314.58 is: 472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.35 : 1,294.05 = 314.58 : x
  2. Step 2: Convert to fraction form
    862.35/1,294.05 = 314.58/x
  3. Step 3: Cross multiply
    862.35x = 1,294.05 × 314.58
  4. Step 4: Simplify right side
    862.35x = 407,082.69
  5. Step 5: Solve for x
    x = 407,082.69/862.35
  6. Step 6: Final answer
    x = 472.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.