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Finding the Fourth Proportional to 565.96, 780.60 and 408.82

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Solution

The fourth proportional to 565.96, 780.60 and 408.82 is: 563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.96 : 780.60 = 408.82 : x
  2. Step 2: Convert to fraction form
    565.96/780.60 = 408.82/x
  3. Step 3: Cross multiply
    565.96x = 780.60 × 408.82
  4. Step 4: Simplify right side
    565.96x = 319,124.89
  5. Step 5: Solve for x
    x = 319,124.89/565.96
  6. Step 6: Final answer
    x = 563.86

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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.