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Finding the Fourth Proportional to 410.32, 566.05 and 299.76

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Solution

The fourth proportional to 410.32, 566.05 and 299.76 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 566.05 = 299.76 : x
  2. Step 2: Convert to fraction form
    410.32/566.05 = 299.76/x
  3. Step 3: Cross multiply
    410.32x = 566.05 × 299.76
  4. Step 4: Simplify right side
    410.32x = 169,679.15
  5. Step 5: Solve for x
    x = 169,679.15/410.32
  6. Step 6: Final answer
    x = 413.53

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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.