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Finding the Fourth Proportional to 567.90, 851.31 and 202.59

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Solution

The fourth proportional to 567.90, 851.31 and 202.59 is: 303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.90 : 851.31 = 202.59 : x
  2. Step 2: Convert to fraction form
    567.90/851.31 = 202.59/x
  3. Step 3: Cross multiply
    567.90x = 851.31 × 202.59
  4. Step 4: Simplify right side
    567.90x = 172,466.89
  5. Step 5: Solve for x
    x = 172,466.89/567.90
  6. Step 6: Final answer
    x = 303.69

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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.