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Finding the Fourth Proportional to 567.85, 851.84 and 202.68

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Solution

The fourth proportional to 567.85, 851.84 and 202.68 is: 304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.85 : 851.84 = 202.68 : x
  2. Step 2: Convert to fraction form
    567.85/851.84 = 202.68/x
  3. Step 3: Cross multiply
    567.85x = 851.84 × 202.68
  4. Step 4: Simplify right side
    567.85x = 172,646.67
  5. Step 5: Solve for x
    x = 172,646.67/567.85
  6. Step 6: Final answer
    x = 304.04

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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.