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Finding the Fourth Proportional to 309.76, 462.24 and 302.96

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Solution

The fourth proportional to 309.76, 462.24 and 302.96 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 462.24 = 302.96 : x
  2. Step 2: Convert to fraction form
    309.76/462.24 = 302.96/x
  3. Step 3: Cross multiply
    309.76x = 462.24 × 302.96
  4. Step 4: Simplify right side
    309.76x = 140,040.23
  5. Step 5: Solve for x
    x = 140,040.23/309.76
  6. Step 6: Final answer
    x = 452.09

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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.