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Finding the Fourth Proportional to 480.02, 719.40 and 206.06

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Solution

The fourth proportional to 480.02, 719.40 and 206.06 is: 308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.02 : 719.40 = 206.06 : x
  2. Step 2: Convert to fraction form
    480.02/719.40 = 206.06/x
  3. Step 3: Cross multiply
    480.02x = 719.40 × 206.06
  4. Step 4: Simplify right side
    480.02x = 148,239.56
  5. Step 5: Solve for x
    x = 148,239.56/480.02
  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.