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Finding the Fourth Proportional to 480.04, 720.14 and 155.44

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Solution

The fourth proportional to 480.04, 720.14 and 155.44 is: 233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.04 : 720.14 = 155.44 : x
  2. Step 2: Convert to fraction form
    480.04/720.14 = 155.44/x
  3. Step 3: Cross multiply
    480.04x = 720.14 × 155.44
  4. Step 4: Simplify right side
    480.04x = 111,938.56
  5. Step 5: Solve for x
    x = 111,938.56/480.04
  6. Step 6: Final answer
    x = 233.19

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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.