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Finding the Fourth Proportional to 860.85, 1,290.49 and 312.65

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Solution

The fourth proportional to 860.85, 1,290.49 and 312.65 is: 468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.85 : 1,290.49 = 312.65 : x
  2. Step 2: Convert to fraction form
    860.85/1,290.49 = 312.65/x
  3. Step 3: Cross multiply
    860.85x = 1,290.49 × 312.65
  4. Step 4: Simplify right side
    860.85x = 403,470.14
  5. Step 5: Solve for x
    x = 403,470.14/860.85
  6. Step 6: Final answer
    x = 468.69

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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.