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Finding the Fourth Proportional to 567.60, 851.49 and 259.56

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Solution

The fourth proportional to 567.60, 851.49 and 259.56 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 851.49 = 259.56 : x
  2. Step 2: Convert to fraction form
    567.60/851.49 = 259.56/x
  3. Step 3: Cross multiply
    567.60x = 851.49 × 259.56
  4. Step 4: Simplify right side
    567.60x = 221,012.74
  5. Step 5: Solve for x
    x = 221,012.74/567.60
  6. Step 6: Final answer
    x = 389.38

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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.