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Finding the Fourth Proportional to 409.65, 565.25 and 298.78

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Solution

The fourth proportional to 409.65, 565.25 and 298.78 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.65 : 565.25 = 298.78 : x
  2. Step 2: Convert to fraction form
    409.65/565.25 = 298.78/x
  3. Step 3: Cross multiply
    409.65x = 565.25 × 298.78
  4. Step 4: Simplify right side
    409.65x = 168,885.40
  5. Step 5: Solve for x
    x = 168,885.40/409.65
  6. Step 6: Final answer
    x = 412.27

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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.