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Finding the Fourth Proportional to 410.03, 565.82 and 235.37

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Solution

The fourth proportional to 410.03, 565.82 and 235.37 is: 324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.03 : 565.82 = 235.37 : x
  2. Step 2: Convert to fraction form
    410.03/565.82 = 235.37/x
  3. Step 3: Cross multiply
    410.03x = 565.82 × 235.37
  4. Step 4: Simplify right side
    410.03x = 133,173.05
  5. Step 5: Solve for x
    x = 133,173.05/410.03
  6. Step 6: Final answer
    x = 324.79

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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.