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Finding the Fourth Proportional to 567.96, 851.68 and 259.91

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Solution

The fourth proportional to 567.96, 851.68 and 259.91 is: 389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.96 : 851.68 = 259.91 : x
  2. Step 2: Convert to fraction form
    567.96/851.68 = 259.91/x
  3. Step 3: Cross multiply
    567.96x = 851.68 × 259.91
  4. Step 4: Simplify right side
    567.96x = 221,359.41
  5. Step 5: Solve for x
    x = 221,359.41/567.96
  6. Step 6: Final answer
    x = 389.75

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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.