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Finding the Fourth Proportional to 859.16, 1,288.82 and 372.23

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Solution

The fourth proportional to 859.16, 1,288.82 and 372.23 is: 558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.16 : 1,288.82 = 372.23 : x
  2. Step 2: Convert to fraction form
    859.16/1,288.82 = 372.23/x
  3. Step 3: Cross multiply
    859.16x = 1,288.82 × 372.23
  4. Step 4: Simplify right side
    859.16x = 479,731.96
  5. Step 5: Solve for x
    x = 479,731.96/859.16
  6. Step 6: Final answer
    x = 558.38

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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.