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Finding the Fourth Proportional to 564.21, 778.64 and 328.15

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Solution

The fourth proportional to 564.21, 778.64 and 328.15 is: 452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.21 : 778.64 = 328.15 : x
  2. Step 2: Convert to fraction form
    564.21/778.64 = 328.15/x
  3. Step 3: Cross multiply
    564.21x = 778.64 × 328.15
  4. Step 4: Simplify right side
    564.21x = 255,510.05
  5. Step 5: Solve for x
    x = 255,510.05/564.21
  6. Step 6: Final answer
    x = 452.86

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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.