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Finding the Fourth Proportional to 567.85, 851.51 and 333.69

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Solution

The fourth proportional to 567.85, 851.51 and 333.69 is: 500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.85 : 851.51 = 333.69 : x
  2. Step 2: Convert to fraction form
    567.85/851.51 = 333.69/x
  3. Step 3: Cross multiply
    567.85x = 851.51 × 333.69
  4. Step 4: Simplify right side
    567.85x = 284,140.83
  5. Step 5: Solve for x
    x = 284,140.83/567.85
  6. Step 6: Final answer
    x = 500.38

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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.