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Finding the Fourth Proportional to 411.52, 566.56 and 356.96

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Solution

The fourth proportional to 411.52, 566.56 and 356.96 is: 491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.52 : 566.56 = 356.96 : x
  2. Step 2: Convert to fraction form
    411.52/566.56 = 356.96/x
  3. Step 3: Cross multiply
    411.52x = 566.56 × 356.96
  4. Step 4: Simplify right side
    411.52x = 202,239.26
  5. Step 5: Solve for x
    x = 202,239.26/411.52
  6. Step 6: Final answer
    x = 491.44

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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.