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Finding the Fourth Proportional to 567.53, 851.20 and 234.02

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Solution

The fourth proportional to 567.53, 851.20 and 234.02 is: 350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.53 : 851.20 = 234.02 : x
  2. Step 2: Convert to fraction form
    567.53/851.20 = 234.02/x
  3. Step 3: Cross multiply
    567.53x = 851.20 × 234.02
  4. Step 4: Simplify right side
    567.53x = 199,197.82
  5. Step 5: Solve for x
    x = 199,197.82/567.53
  6. Step 6: Final answer
    x = 350.99

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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.