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Finding the Fourth Proportional to 303.10, 451.61 and 270.74

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Solution

The fourth proportional to 303.10, 451.61 and 270.74 is: 403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.10 : 451.61 = 270.74 : x
  2. Step 2: Convert to fraction form
    303.10/451.61 = 270.74/x
  3. Step 3: Cross multiply
    303.10x = 451.61 × 270.74
  4. Step 4: Simplify right side
    303.10x = 122,269.68
  5. Step 5: Solve for x
    x = 122,269.68/303.10
  6. Step 6: Final answer
    x = 403.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.