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Finding the Fourth Proportional to 602.13, 902.44 and 309.22

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Solution

The fourth proportional to 602.13, 902.44 and 309.22 is: 463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.13 : 902.44 = 309.22 : x
  2. Step 2: Convert to fraction form
    602.13/902.44 = 309.22/x
  3. Step 3: Cross multiply
    602.13x = 902.44 × 309.22
  4. Step 4: Simplify right side
    602.13x = 279,050.63
  5. Step 5: Solve for x
    x = 279,050.63/602.13
  6. Step 6: Final answer
    x = 463.44

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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.