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Finding the Fourth Proportional to 410.28, 565.62 and 299.76

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Solution

The fourth proportional to 410.28, 565.62 and 299.76 is: 413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.28 : 565.62 = 299.76 : x
  2. Step 2: Convert to fraction form
    410.28/565.62 = 299.76/x
  3. Step 3: Cross multiply
    410.28x = 565.62 × 299.76
  4. Step 4: Simplify right side
    410.28x = 169,550.25
  5. Step 5: Solve for x
    x = 169,550.25/410.28
  6. Step 6: Final answer
    x = 413.25

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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.