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Finding the Fourth Proportional to 564.61, 779.13 and 328.57

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Solution

The fourth proportional to 564.61, 779.13 and 328.57 is: 453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.61 : 779.13 = 328.57 : x
  2. Step 2: Convert to fraction form
    564.61/779.13 = 328.57/x
  3. Step 3: Cross multiply
    564.61x = 779.13 × 328.57
  4. Step 4: Simplify right side
    564.61x = 255,998.74
  5. Step 5: Solve for x
    x = 255,998.74/564.61
  6. Step 6: Final answer
    x = 453.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.