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Finding the Fourth Proportional to 292.26, 402.82 and 278.60

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Solution

The fourth proportional to 292.26, 402.82 and 278.60 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.26 : 402.82 = 278.60 : x
  2. Step 2: Convert to fraction form
    292.26/402.82 = 278.60/x
  3. Step 3: Cross multiply
    292.26x = 402.82 × 278.60
  4. Step 4: Simplify right side
    292.26x = 112,225.65
  5. Step 5: Solve for x
    x = 112,225.65/292.26
  6. Step 6: Final answer
    x = 383.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.