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Finding the Fourth Proportional to 409.76, 565.34 and 235.07

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Solution

The fourth proportional to 409.76, 565.34 and 235.07 is: 324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 565.34 = 235.07 : x
  2. Step 2: Convert to fraction form
    409.76/565.34 = 235.07/x
  3. Step 3: Cross multiply
    409.76x = 565.34 × 235.07
  4. Step 4: Simplify right side
    409.76x = 132,890.47
  5. Step 5: Solve for x
    x = 132,890.47/409.76
  6. Step 6: Final answer
    x = 324.32

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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.