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Finding the Fourth Proportional to 423.04, 584.08 and 274.02

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Solution

The fourth proportional to 423.04, 584.08 and 274.02 is: 378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.04 : 584.08 = 274.02 : x
  2. Step 2: Convert to fraction form
    423.04/584.08 = 274.02/x
  3. Step 3: Cross multiply
    423.04x = 584.08 × 274.02
  4. Step 4: Simplify right side
    423.04x = 160,048.23
  5. Step 5: Solve for x
    x = 160,048.23/423.04
  6. Step 6: Final answer
    x = 378.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.