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Finding the Fourth Proportional to 409.24, 564.54 and 259.61

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Solution

The fourth proportional to 409.24, 564.54 and 259.61 is: 358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 564.54 = 259.61 : x
  2. Step 2: Convert to fraction form
    409.24/564.54 = 259.61/x
  3. Step 3: Cross multiply
    409.24x = 564.54 × 259.61
  4. Step 4: Simplify right side
    409.24x = 146,557.41
  5. Step 5: Solve for x
    x = 146,557.41/409.24
  6. Step 6: Final answer
    x = 358.12

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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.