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Finding the Fourth Proportional to 332.16, 457.96 and 269.76

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Solution

The fourth proportional to 332.16, 457.96 and 269.76 is: 371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 457.96 = 269.76 : x
  2. Step 2: Convert to fraction form
    332.16/457.96 = 269.76/x
  3. Step 3: Cross multiply
    332.16x = 457.96 × 269.76
  4. Step 4: Simplify right side
    332.16x = 123,539.29
  5. Step 5: Solve for x
    x = 123,539.29/332.16
  6. Step 6: Final answer
    x = 371.93

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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.