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Finding the Fourth Proportional to 567.88, 851.91 and 202.77

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Solution

The fourth proportional to 567.88, 851.91 and 202.77 is: 304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.88 : 851.91 = 202.77 : x
  2. Step 2: Convert to fraction form
    567.88/851.91 = 202.77/x
  3. Step 3: Cross multiply
    567.88x = 851.91 × 202.77
  4. Step 4: Simplify right side
    567.88x = 172,741.79
  5. Step 5: Solve for x
    x = 172,741.79/567.88
  6. Step 6: Final answer
    x = 304.19

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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.