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Finding the Fourth Proportional to 565.78, 780.03 and 408.28

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Solution

The fourth proportional to 565.78, 780.03 and 408.28 is: 562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 780.03 = 408.28 : x
  2. Step 2: Convert to fraction form
    565.78/780.03 = 408.28/x
  3. Step 3: Cross multiply
    565.78x = 780.03 × 408.28
  4. Step 4: Simplify right side
    565.78x = 318,470.65
  5. Step 5: Solve for x
    x = 318,470.65/565.78
  6. Step 6: Final answer
    x = 562.89

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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.