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Finding the Fourth Proportional to 567.33, 851.00 and 242.69

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Solution

The fourth proportional to 567.33, 851.00 and 242.69 is: 364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.33 : 851.00 = 242.69 : x
  2. Step 2: Convert to fraction form
    567.33/851.00 = 242.69/x
  3. Step 3: Cross multiply
    567.33x = 851.00 × 242.69
  4. Step 4: Simplify right side
    567.33x = 206,523.72
  5. Step 5: Solve for x
    x = 206,523.72/567.33
  6. Step 6: Final answer
    x = 364.03

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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.