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Finding the Fourth Proportional to 566.07, 779.97 and 527.11

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Solution

The fourth proportional to 566.07, 779.97 and 527.11 is: 726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.07 : 779.97 = 527.11 : x
  2. Step 2: Convert to fraction form
    566.07/779.97 = 527.11/x
  3. Step 3: Cross multiply
    566.07x = 779.97 × 527.11
  4. Step 4: Simplify right side
    566.07x = 411,130.01
  5. Step 5: Solve for x
    x = 411,130.01/566.07
  6. Step 6: Final answer
    x = 726.29

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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.