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Finding the Fourth Proportional to 564.21, 776.25 and 548.91

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Solution

The fourth proportional to 564.21, 776.25 and 548.91 is: 755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.21 : 776.25 = 548.91 : x
  2. Step 2: Convert to fraction form
    564.21/776.25 = 548.91/x
  3. Step 3: Cross multiply
    564.21x = 776.25 × 548.91
  4. Step 4: Simplify right side
    564.21x = 426,091.39
  5. Step 5: Solve for x
    x = 426,091.39/564.21
  6. Step 6: Final answer
    x = 755.20

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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.