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Finding the Fourth Proportional to 564.09, 778.15 and 377.64

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Solution

The fourth proportional to 564.09, 778.15 and 377.64 is: 520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.09 : 778.15 = 377.64 : x
  2. Step 2: Convert to fraction form
    564.09/778.15 = 377.64/x
  3. Step 3: Cross multiply
    564.09x = 778.15 × 377.64
  4. Step 4: Simplify right side
    564.09x = 293,860.57
  5. Step 5: Solve for x
    x = 293,860.57/564.09
  6. Step 6: Final answer
    x = 520.95

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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.