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Finding the Fourth Proportional to 567.35, 849.20 and 319.89

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Solution

The fourth proportional to 567.35, 849.20 and 319.89 is: 478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.35 : 849.20 = 319.89 : x
  2. Step 2: Convert to fraction form
    567.35/849.20 = 319.89/x
  3. Step 3: Cross multiply
    567.35x = 849.20 × 319.89
  4. Step 4: Simplify right side
    567.35x = 271,648.99
  5. Step 5: Solve for x
    x = 271,648.99/567.35
  6. Step 6: Final answer
    x = 478.81

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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.