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Finding the Fourth Proportional to 305.10, 422.98 and 288.68

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Solution

The fourth proportional to 305.10, 422.98 and 288.68 is: 400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.10 : 422.98 = 288.68 : x
  2. Step 2: Convert to fraction form
    305.10/422.98 = 288.68/x
  3. Step 3: Cross multiply
    305.10x = 422.98 × 288.68
  4. Step 4: Simplify right side
    305.10x = 122,103.03
  5. Step 5: Solve for x
    x = 122,103.03/305.10
  6. Step 6: Final answer
    x = 400.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.