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Finding the Fourth Proportional to 602.31, 901.55 and 323.98

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Solution

The fourth proportional to 602.31, 901.55 and 323.98 is: 484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.31 : 901.55 = 323.98 : x
  2. Step 2: Convert to fraction form
    602.31/901.55 = 323.98/x
  3. Step 3: Cross multiply
    602.31x = 901.55 × 323.98
  4. Step 4: Simplify right side
    602.31x = 292,084.17
  5. Step 5: Solve for x
    x = 292,084.17/602.31
  6. Step 6: Final answer
    x = 484.94

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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.