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Finding the Fourth Proportional to 480.40, 719.94 and 206.20

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Solution

The fourth proportional to 480.40, 719.94 and 206.20 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.40 : 719.94 = 206.20 : x
  2. Step 2: Convert to fraction form
    480.40/719.94 = 206.20/x
  3. Step 3: Cross multiply
    480.40x = 719.94 × 206.20
  4. Step 4: Simplify right side
    480.40x = 148,451.63
  5. Step 5: Solve for x
    x = 148,451.63/480.40
  6. Step 6: Final answer
    x = 309.02

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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.