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Finding the Fourth Proportional to 296.35, 409.32 and 269.01

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Solution

The fourth proportional to 296.35, 409.32 and 269.01 is: 371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.35 : 409.32 = 269.01 : x
  2. Step 2: Convert to fraction form
    296.35/409.32 = 269.01/x
  3. Step 3: Cross multiply
    296.35x = 409.32 × 269.01
  4. Step 4: Simplify right side
    296.35x = 110,109.83
  5. Step 5: Solve for x
    x = 110,109.83/296.35
  6. Step 6: Final answer
    x = 371.56

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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.