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Finding the Fourth Proportional to 878.50, 1,317.76 and 301.42

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Solution

The fourth proportional to 878.50, 1,317.76 and 301.42 is: 452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.50 : 1,317.76 = 301.42 : x
  2. Step 2: Convert to fraction form
    878.50/1,317.76 = 301.42/x
  3. Step 3: Cross multiply
    878.50x = 1,317.76 × 301.42
  4. Step 4: Simplify right side
    878.50x = 397,199.22
  5. Step 5: Solve for x
    x = 397,199.22/878.50
  6. Step 6: Final answer
    x = 452.13

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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.