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Finding the Fourth Proportional to 480.32, 720.48 and 371.78

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Solution

The fourth proportional to 480.32, 720.48 and 371.78 is: 557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 720.48 = 371.78 : x
  2. Step 2: Convert to fraction form
    480.32/720.48 = 371.78/x
  3. Step 3: Cross multiply
    480.32x = 720.48 × 371.78
  4. Step 4: Simplify right side
    480.32x = 267,860.05
  5. Step 5: Solve for x
    x = 267,860.05/480.32
  6. Step 6: Final answer
    x = 557.67

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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.