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Finding the Fourth Proportional to 662.46, 913.76 and 396.72

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Solution

The fourth proportional to 662.46, 913.76 and 396.72 is: 547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.46 : 913.76 = 396.72 : x
  2. Step 2: Convert to fraction form
    662.46/913.76 = 396.72/x
  3. Step 3: Cross multiply
    662.46x = 913.76 × 396.72
  4. Step 4: Simplify right side
    662.46x = 362,506.87
  5. Step 5: Solve for x
    x = 362,506.87/662.46
  6. Step 6: Final answer
    x = 547.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.