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Finding the Fourth Proportional to 442.96, 611.47 and 277.14

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Solution

The fourth proportional to 442.96, 611.47 and 277.14 is: 382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.96 : 611.47 = 277.14 : x
  2. Step 2: Convert to fraction form
    442.96/611.47 = 277.14/x
  3. Step 3: Cross multiply
    442.96x = 611.47 × 277.14
  4. Step 4: Simplify right side
    442.96x = 169,462.78
  5. Step 5: Solve for x
    x = 169,462.78/442.96
  6. Step 6: Final answer
    x = 382.57

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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.