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Finding the Fourth Proportional to 410.25, 565.02 and 381.56

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Solution

The fourth proportional to 410.25, 565.02 and 381.56 is: 525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 565.02 = 381.56 : x
  2. Step 2: Convert to fraction form
    410.25/565.02 = 381.56/x
  3. Step 3: Cross multiply
    410.25x = 565.02 × 381.56
  4. Step 4: Simplify right side
    410.25x = 215,586.21
  5. Step 5: Solve for x
    x = 215,586.21/410.25
  6. Step 6: Final answer
    x = 525.50

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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.