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Finding the Fourth Proportional to 567.59, 851.38 and 259.54

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Solution

The fourth proportional to 567.59, 851.38 and 259.54 is: 389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.59 : 851.38 = 259.54 : x
  2. Step 2: Convert to fraction form
    567.59/851.38 = 259.54/x
  3. Step 3: Cross multiply
    567.59x = 851.38 × 259.54
  4. Step 4: Simplify right side
    567.59x = 220,964.39
  5. Step 5: Solve for x
    x = 220,964.39/567.59
  6. Step 6: Final answer
    x = 389.31

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Why These Related Problems?

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