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Finding the Fourth Proportional to 409.80, 565.74 and 299.84

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Solution

The fourth proportional to 409.80, 565.74 and 299.84 is: 413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 565.74 = 299.84 : x
  2. Step 2: Convert to fraction form
    409.80/565.74 = 299.84/x
  3. Step 3: Cross multiply
    409.80x = 565.74 × 299.84
  4. Step 4: Simplify right side
    409.80x = 169,631.48
  5. Step 5: Solve for x
    x = 169,631.48/409.80
  6. Step 6: Final answer
    x = 413.94

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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.