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Finding the Fourth Proportional to 868.68, 1,302.77 and 313.31

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Solution

The fourth proportional to 868.68, 1,302.77 and 313.31 is: 469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.68 : 1,302.77 = 313.31 : x
  2. Step 2: Convert to fraction form
    868.68/1,302.77 = 313.31/x
  3. Step 3: Cross multiply
    868.68x = 1,302.77 × 313.31
  4. Step 4: Simplify right side
    868.68x = 408,162.79
  5. Step 5: Solve for x
    x = 408,162.79/868.68
  6. Step 6: Final answer
    x = 469.87

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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.