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Finding the Fourth Proportional to 602.24, 903.02 and 309.42

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Solution

The fourth proportional to 602.24, 903.02 and 309.42 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.24 : 903.02 = 309.42 : x
  2. Step 2: Convert to fraction form
    602.24/903.02 = 309.42/x
  3. Step 3: Cross multiply
    602.24x = 903.02 × 309.42
  4. Step 4: Simplify right side
    602.24x = 279,410.90
  5. Step 5: Solve for x
    x = 279,410.90/602.24
  6. Step 6: Final answer
    x = 463.96

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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.