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Finding the Fourth Proportional to 602.20, 902.61 and 328.42

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Solution

The fourth proportional to 602.20, 902.61 and 328.42 is: 492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.20 : 902.61 = 328.42 : x
  2. Step 2: Convert to fraction form
    602.20/902.61 = 328.42/x
  3. Step 3: Cross multiply
    602.20x = 902.61 × 328.42
  4. Step 4: Simplify right side
    602.20x = 296,435.18
  5. Step 5: Solve for x
    x = 296,435.18/602.20
  6. Step 6: Final answer
    x = 492.25

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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.