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Finding the Fourth Proportional to 602.80, 902.76 and 409.84

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Solution

The fourth proportional to 602.80, 902.76 and 409.84 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.80 : 902.76 = 409.84 : x
  2. Step 2: Convert to fraction form
    602.80/902.76 = 409.84/x
  3. Step 3: Cross multiply
    602.80x = 902.76 × 409.84
  4. Step 4: Simplify right side
    602.80x = 369,987.16
  5. Step 5: Solve for x
    x = 369,987.16/602.80
  6. Step 6: Final answer
    x = 613.78

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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.