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Finding the Fourth Proportional to 296.60, 410.27 and 250.70

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Solution

The fourth proportional to 296.60, 410.27 and 250.70 is: 346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.60 : 410.27 = 250.70 : x
  2. Step 2: Convert to fraction form
    296.60/410.27 = 250.70/x
  3. Step 3: Cross multiply
    296.60x = 410.27 × 250.70
  4. Step 4: Simplify right side
    296.60x = 102,851.38
  5. Step 5: Solve for x
    x = 102,851.38/296.60
  6. Step 6: Final answer
    x = 346.77

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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.