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Finding the Fourth Proportional to 480.96, 719.82 and 371.88

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Solution

The fourth proportional to 480.96, 719.82 and 371.88 is: 556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.96 : 719.82 = 371.88 : x
  2. Step 2: Convert to fraction form
    480.96/719.82 = 371.88/x
  3. Step 3: Cross multiply
    480.96x = 719.82 × 371.88
  4. Step 4: Simplify right side
    480.96x = 267,686.66
  5. Step 5: Solve for x
    x = 267,686.66/480.96
  6. Step 6: Final answer
    x = 556.57

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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.