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Finding the Fourth Proportional to 567.53, 851.45 and 202.34

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Solution

The fourth proportional to 567.53, 851.45 and 202.34 is: 303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.53 : 851.45 = 202.34 : x
  2. Step 2: Convert to fraction form
    567.53/851.45 = 202.34/x
  3. Step 3: Cross multiply
    567.53x = 851.45 × 202.34
  4. Step 4: Simplify right side
    567.53x = 172,277.12
  5. Step 5: Solve for x
    x = 172,277.12/567.53
  6. Step 6: Final answer
    x = 303.56

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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.