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Finding the Fourth Proportional to 860.65, 1,291.20 and 312.88

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Solution

The fourth proportional to 860.65, 1,291.20 and 312.88 is: 469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.65 : 1,291.20 = 312.88 : x
  2. Step 2: Convert to fraction form
    860.65/1,291.20 = 312.88/x
  3. Step 3: Cross multiply
    860.65x = 1,291.20 × 312.88
  4. Step 4: Simplify right side
    860.65x = 403,990.66
  5. Step 5: Solve for x
    x = 403,990.66/860.65
  6. Step 6: Final answer
    x = 469.40

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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.