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Finding the Fourth Proportional to 564.47, 778.90 and 315.77

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Solution

The fourth proportional to 564.47, 778.90 and 315.77 is: 435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.47 : 778.90 = 315.77 : x
  2. Step 2: Convert to fraction form
    564.47/778.90 = 315.77/x
  3. Step 3: Cross multiply
    564.47x = 778.90 × 315.77
  4. Step 4: Simplify right side
    564.47x = 245,948.57
  5. Step 5: Solve for x
    x = 245,948.57/564.47
  6. Step 6: Final answer
    x = 435.71

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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.