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Finding the Fourth Proportional to 567.73, 851.55 and 259.51

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Solution

The fourth proportional to 567.73, 851.55 and 259.51 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.73 : 851.55 = 259.51 : x
  2. Step 2: Convert to fraction form
    567.73/851.55 = 259.51/x
  3. Step 3: Cross multiply
    567.73x = 851.55 × 259.51
  4. Step 4: Simplify right side
    567.73x = 220,985.74
  5. Step 5: Solve for x
    x = 220,985.74/567.73
  6. Step 6: Final answer
    x = 389.24

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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.