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Finding the Fourth Proportional to 409.68, 565.49 and 235.14

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Solution

The fourth proportional to 409.68, 565.49 and 235.14 is: 324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.68 : 565.49 = 235.14 : x
  2. Step 2: Convert to fraction form
    409.68/565.49 = 235.14/x
  3. Step 3: Cross multiply
    409.68x = 565.49 × 235.14
  4. Step 4: Simplify right side
    409.68x = 132,968.14
  5. Step 5: Solve for x
    x = 132,968.14/409.68
  6. Step 6: Final answer
    x = 324.57

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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.