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Finding the Fourth Proportional to 565.61, 778.89 and 482.69

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Solution

The fourth proportional to 565.61, 778.89 and 482.69 is: 664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.61 : 778.89 = 482.69 : x
  2. Step 2: Convert to fraction form
    565.61/778.89 = 482.69/x
  3. Step 3: Cross multiply
    565.61x = 778.89 × 482.69
  4. Step 4: Simplify right side
    565.61x = 375,958.52
  5. Step 5: Solve for x
    x = 375,958.52/565.61
  6. Step 6: Final answer
    x = 664.70

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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.