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Finding the Fourth Proportional to 567.55, 851.03 and 202.29

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Solution

The fourth proportional to 567.55, 851.03 and 202.29 is: 303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.55 : 851.03 = 202.29 : x
  2. Step 2: Convert to fraction form
    567.55/851.03 = 202.29/x
  3. Step 3: Cross multiply
    567.55x = 851.03 × 202.29
  4. Step 4: Simplify right side
    567.55x = 172,150.60
  5. Step 5: Solve for x
    x = 172,150.60/567.55
  6. Step 6: Final answer
    x = 303.32

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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.