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Finding the Fourth Proportional to 564.26, 844.76 and 521.19

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Solution

The fourth proportional to 564.26, 844.76 and 521.19 is: 780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.26 : 844.76 = 521.19 : x
  2. Step 2: Convert to fraction form
    564.26/844.76 = 521.19/x
  3. Step 3: Cross multiply
    564.26x = 844.76 × 521.19
  4. Step 4: Simplify right side
    564.26x = 440,281.77
  5. Step 5: Solve for x
    x = 440,281.77/564.26
  6. Step 6: Final answer
    x = 780.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.