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Finding the Fourth Proportional to 602.14, 902.42 and 309.40

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Solution

The fourth proportional to 602.14, 902.42 and 309.40 is: 463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.14 : 902.42 = 309.40 : x
  2. Step 2: Convert to fraction form
    602.14/902.42 = 309.40/x
  3. Step 3: Cross multiply
    602.14x = 902.42 × 309.40
  4. Step 4: Simplify right side
    602.14x = 279,208.75
  5. Step 5: Solve for x
    x = 279,208.75/602.14
  6. Step 6: Final answer
    x = 463.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.