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Finding the Fourth Proportional to 874.46, 1,311.54 and 258.16

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Solution

The fourth proportional to 874.46, 1,311.54 and 258.16 is: 387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.46 : 1,311.54 = 258.16 : x
  2. Step 2: Convert to fraction form
    874.46/1,311.54 = 258.16/x
  3. Step 3: Cross multiply
    874.46x = 1,311.54 × 258.16
  4. Step 4: Simplify right side
    874.46x = 338,587.17
  5. Step 5: Solve for x
    x = 338,587.17/874.46
  6. Step 6: Final answer
    x = 387.20

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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.