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Finding the Fourth Proportional to 480.32, 719.87 and 206.13

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Solution

The fourth proportional to 480.32, 719.87 and 206.13 is: 308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 719.87 = 206.13 : x
  2. Step 2: Convert to fraction form
    480.32/719.87 = 206.13/x
  3. Step 3: Cross multiply
    480.32x = 719.87 × 206.13
  4. Step 4: Simplify right side
    480.32x = 148,386.80
  5. Step 5: Solve for x
    x = 148,386.80/480.32
  6. Step 6: Final answer
    x = 308.93

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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.