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Finding the Fourth Proportional to 402.59, 604 and 197.28

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Solution

The fourth proportional to 402.59, 604 and 197.28 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.59 : 604 = 197.28 : x
  2. Step 2: Convert to fraction form
    402.59/604 = 197.28/x
  3. Step 3: Cross multiply
    402.59x = 604 × 197.28
  4. Step 4: Simplify right side
    402.59x = 119,157.12
  5. Step 5: Solve for x
    x = 119,157.12/402.59
  6. Step 6: Final answer
    x = 295.98

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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.