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Finding the Fourth Proportional to 480.24, 719.82 and 206.46

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Solution

The fourth proportional to 480.24, 719.82 and 206.46 is: 309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.24 : 719.82 = 206.46 : x
  2. Step 2: Convert to fraction form
    480.24/719.82 = 206.46/x
  3. Step 3: Cross multiply
    480.24x = 719.82 × 206.46
  4. Step 4: Simplify right side
    480.24x = 148,614.04
  5. Step 5: Solve for x
    x = 148,614.04/480.24
  6. Step 6: Final answer
    x = 309.46

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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.