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Finding the Fourth Proportional to 313.62, 467.84 and 277.54

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Solution

The fourth proportional to 313.62, 467.84 and 277.54 is: 414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 467.84 = 277.54 : x
  2. Step 2: Convert to fraction form
    313.62/467.84 = 277.54/x
  3. Step 3: Cross multiply
    313.62x = 467.84 × 277.54
  4. Step 4: Simplify right side
    313.62x = 129,844.31
  5. Step 5: Solve for x
    x = 129,844.31/313.62
  6. Step 6: Final answer
    x = 414.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.