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Finding the Fourth Proportional to 740.20, 1,110.39 and 253.36

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Solution

The fourth proportional to 740.20, 1,110.39 and 253.36 is: 380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.20 : 1,110.39 = 253.36 : x
  2. Step 2: Convert to fraction form
    740.20/1,110.39 = 253.36/x
  3. Step 3: Cross multiply
    740.20x = 1,110.39 × 253.36
  4. Step 4: Simplify right side
    740.20x = 281,328.41
  5. Step 5: Solve for x
    x = 281,328.41/740.20
  6. Step 6: Final answer
    x = 380.07

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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.