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Finding the Fourth Proportional to 565.48, 778.71 and 482.56

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Solution

The fourth proportional to 565.48, 778.71 and 482.56 is: 664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.48 : 778.71 = 482.56 : x
  2. Step 2: Convert to fraction form
    565.48/778.71 = 482.56/x
  3. Step 3: Cross multiply
    565.48x = 778.71 × 482.56
  4. Step 4: Simplify right side
    565.48x = 375,774.30
  5. Step 5: Solve for x
    x = 375,774.30/565.48
  6. Step 6: Final answer
    x = 664.52

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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.