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Finding the Fourth Proportional to 951.83, 1,427.80 and 294.16

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Solution

The fourth proportional to 951.83, 1,427.80 and 294.16 is: 441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.83 : 1,427.80 = 294.16 : x
  2. Step 2: Convert to fraction form
    951.83/1,427.80 = 294.16/x
  3. Step 3: Cross multiply
    951.83x = 1,427.80 × 294.16
  4. Step 4: Simplify right side
    951.83x = 420,001.65
  5. Step 5: Solve for x
    x = 420,001.65/951.83
  6. Step 6: Final answer
    x = 441.26

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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.