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Finding the Fourth Proportional to 566.55, 779.90 and 566.55

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Solution

The fourth proportional to 566.55, 779.90 and 566.55 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.55 : 779.90 = 566.55 : x
  2. Step 2: Convert to fraction form
    566.55/779.90 = 566.55/x
  3. Step 3: Cross multiply
    566.55x = 779.90 × 566.55
  4. Step 4: Simplify right side
    566.55x = 441,849.51
  5. Step 5: Solve for x
    x = 441,849.51/566.55
  6. Step 6: Final answer
    x = 779.90

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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.