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Finding the Fourth Proportional to 878.49, 1,315.85 and 415.57

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Solution

The fourth proportional to 878.49, 1,315.85 and 415.57 is: 622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.49 : 1,315.85 = 415.57 : x
  2. Step 2: Convert to fraction form
    878.49/1,315.85 = 415.57/x
  3. Step 3: Cross multiply
    878.49x = 1,315.85 × 415.57
  4. Step 4: Simplify right side
    878.49x = 546,827.78
  5. Step 5: Solve for x
    x = 546,827.78/878.49
  6. Step 6: Final answer
    x = 622.46

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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.