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Finding the Fourth Proportional to 480.74, 720.95 and 188.22

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Solution

The fourth proportional to 480.74, 720.95 and 188.22 is: 282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.74 : 720.95 = 188.22 : x
  2. Step 2: Convert to fraction form
    480.74/720.95 = 188.22/x
  3. Step 3: Cross multiply
    480.74x = 720.95 × 188.22
  4. Step 4: Simplify right side
    480.74x = 135,696.27
  5. Step 5: Solve for x
    x = 135,696.27/480.74
  6. Step 6: Final answer
    x = 282.27

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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.