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Finding the Fourth Proportional to 860.34, 1,290.90 and 312.86

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Solution

The fourth proportional to 860.34, 1,290.90 and 312.86 is: 469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.34 : 1,290.90 = 312.86 : x
  2. Step 2: Convert to fraction form
    860.34/1,290.90 = 312.86/x
  3. Step 3: Cross multiply
    860.34x = 1,290.90 × 312.86
  4. Step 4: Simplify right side
    860.34x = 403,870.97
  5. Step 5: Solve for x
    x = 403,870.97/860.34
  6. Step 6: Final answer
    x = 469.43

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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.