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Finding the Fourth Proportional to 409.49, 565.32 and 269.84

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Solution

The fourth proportional to 409.49, 565.32 and 269.84 is: 372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.49 : 565.32 = 269.84 : x
  2. Step 2: Convert to fraction form
    409.49/565.32 = 269.84/x
  3. Step 3: Cross multiply
    409.49x = 565.32 × 269.84
  4. Step 4: Simplify right side
    409.49x = 152,547.27
  5. Step 5: Solve for x
    x = 152,547.27/409.49
  6. Step 6: Final answer
    x = 372.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.