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Finding the Fourth Proportional to 602.18, 901.31 and 323.82

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Solution

The fourth proportional to 602.18, 901.31 and 323.82 is: 484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.18 : 901.31 = 323.82 : x
  2. Step 2: Convert to fraction form
    602.18/901.31 = 323.82/x
  3. Step 3: Cross multiply
    602.18x = 901.31 × 323.82
  4. Step 4: Simplify right side
    602.18x = 291,860.59
  5. Step 5: Solve for x
    x = 291,860.59/602.18
  6. Step 6: Final answer
    x = 484.68

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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.