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Finding the Fourth Proportional to 862.84, 1,294.41 and 314.98

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Solution

The fourth proportional to 862.84, 1,294.41 and 314.98 is: 472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,294.41 = 314.98 : x
  2. Step 2: Convert to fraction form
    862.84/1,294.41 = 314.98/x
  3. Step 3: Cross multiply
    862.84x = 1,294.41 × 314.98
  4. Step 4: Simplify right side
    862.84x = 407,713.26
  5. Step 5: Solve for x
    x = 407,713.26/862.84
  6. Step 6: Final answer
    x = 472.52

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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.