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Finding the Fourth Proportional to 878.65, 1,317.80 and 330.89

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Solution

The fourth proportional to 878.65, 1,317.80 and 330.89 is: 496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.65 : 1,317.80 = 330.89 : x
  2. Step 2: Convert to fraction form
    878.65/1,317.80 = 330.89/x
  3. Step 3: Cross multiply
    878.65x = 1,317.80 × 330.89
  4. Step 4: Simplify right side
    878.65x = 436,041.08
  5. Step 5: Solve for x
    x = 436,041.08/878.65
  6. Step 6: Final answer
    x = 496.26

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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.