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Finding the Fourth Proportional to 291.60, 402.30 and 254.70

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Solution

The fourth proportional to 291.60, 402.30 and 254.70 is: 351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 402.30 = 254.70 : x
  2. Step 2: Convert to fraction form
    291.60/402.30 = 254.70/x
  3. Step 3: Cross multiply
    291.60x = 402.30 × 254.70
  4. Step 4: Simplify right side
    291.60x = 102,465.81
  5. Step 5: Solve for x
    x = 102,465.81/291.60
  6. Step 6: Final answer
    x = 351.39

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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.