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Finding the Fourth Proportional to 763.04, 1,144.44 and 330.08

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Solution

The fourth proportional to 763.04, 1,144.44 and 330.08 is: 495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.04 : 1,144.44 = 330.08 : x
  2. Step 2: Convert to fraction form
    763.04/1,144.44 = 330.08/x
  3. Step 3: Cross multiply
    763.04x = 1,144.44 × 330.08
  4. Step 4: Simplify right side
    763.04x = 377,756.76
  5. Step 5: Solve for x
    x = 377,756.76/763.04
  6. Step 6: Final answer
    x = 495.07

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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.