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Finding the Fourth Proportional to 564.75, 779.06 and 525.18

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Solution

The fourth proportional to 564.75, 779.06 and 525.18 is: 724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 779.06 = 525.18 : x
  2. Step 2: Convert to fraction form
    564.75/779.06 = 525.18/x
  3. Step 3: Cross multiply
    564.75x = 779.06 × 525.18
  4. Step 4: Simplify right side
    564.75x = 409,150.97
  5. Step 5: Solve for x
    x = 409,150.97/564.75
  6. Step 6: Final answer
    x = 724.48

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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.