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Finding the Fourth Proportional to 480.05, 719.47 and 205.87

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Solution

The fourth proportional to 480.05, 719.47 and 205.87 is: 308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.05 : 719.47 = 205.87 : x
  2. Step 2: Convert to fraction form
    480.05/719.47 = 205.87/x
  3. Step 3: Cross multiply
    480.05x = 719.47 × 205.87
  4. Step 4: Simplify right side
    480.05x = 148,117.29
  5. Step 5: Solve for x
    x = 148,117.29/480.05
  6. Step 6: Final answer
    x = 308.55

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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.