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Finding the Fourth Proportional to 564.38, 778.94 and 328.35

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Solution

The fourth proportional to 564.38, 778.94 and 328.35 is: 453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 778.94 = 328.35 : x
  2. Step 2: Convert to fraction form
    564.38/778.94 = 328.35/x
  3. Step 3: Cross multiply
    564.38x = 778.94 × 328.35
  4. Step 4: Simplify right side
    564.38x = 255,763.31
  5. Step 5: Solve for x
    x = 255,763.31/564.38
  6. Step 6: Final answer
    x = 453.18

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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.