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Finding the Fourth Proportional to 567.74, 851.90 and 243.02

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Solution

The fourth proportional to 567.74, 851.90 and 243.02 is: 364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.74 : 851.90 = 243.02 : x
  2. Step 2: Convert to fraction form
    567.74/851.90 = 243.02/x
  3. Step 3: Cross multiply
    567.74x = 851.90 × 243.02
  4. Step 4: Simplify right side
    567.74x = 207,028.74
  5. Step 5: Solve for x
    x = 207,028.74/567.74
  6. Step 6: Final answer
    x = 364.65

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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.