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Finding the Fourth Proportional to 410.31, 566.24 and 262.98

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Solution

The fourth proportional to 410.31, 566.24 and 262.98 is: 362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.31 : 566.24 = 262.98 : x
  2. Step 2: Convert to fraction form
    410.31/566.24 = 262.98/x
  3. Step 3: Cross multiply
    410.31x = 566.24 × 262.98
  4. Step 4: Simplify right side
    410.31x = 148,908.48
  5. Step 5: Solve for x
    x = 148,908.48/410.31
  6. Step 6: Final answer
    x = 362.92

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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.