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Finding the Fourth Proportional to 602.10, 902.82 and 309.48

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Solution

The fourth proportional to 602.10, 902.82 and 309.48 is: 464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.10 : 902.82 = 309.48 : x
  2. Step 2: Convert to fraction form
    602.10/902.82 = 309.48/x
  3. Step 3: Cross multiply
    602.10x = 902.82 × 309.48
  4. Step 4: Simplify right side
    602.10x = 279,404.73
  5. Step 5: Solve for x
    x = 279,404.73/602.10
  6. Step 6: Final answer
    x = 464.05

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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.