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Finding the Fourth Proportional to 443.32, 611.54 and 277.48

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Solution

The fourth proportional to 443.32, 611.54 and 277.48 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.32 : 611.54 = 277.48 : x
  2. Step 2: Convert to fraction form
    443.32/611.54 = 277.48/x
  3. Step 3: Cross multiply
    443.32x = 611.54 × 277.48
  4. Step 4: Simplify right side
    443.32x = 169,690.12
  5. Step 5: Solve for x
    x = 169,690.12/443.32
  6. Step 6: Final answer
    x = 382.77

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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.