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Finding the Fourth Proportional to 480.08, 719.60 and 206.03

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Solution

The fourth proportional to 480.08, 719.60 and 206.03 is: 308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.08 : 719.60 = 206.03 : x
  2. Step 2: Convert to fraction form
    480.08/719.60 = 206.03/x
  3. Step 3: Cross multiply
    480.08x = 719.60 × 206.03
  4. Step 4: Simplify right side
    480.08x = 148,254.56
  5. Step 5: Solve for x
    x = 148,254.56/480.08
  6. Step 6: Final answer
    x = 308.82

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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.