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Finding the Fourth Proportional to 487.42, 672.54 and 277.55

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Solution

The fourth proportional to 487.42, 672.54 and 277.55 is: 382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.42 : 672.54 = 277.55 : x
  2. Step 2: Convert to fraction form
    487.42/672.54 = 277.55/x
  3. Step 3: Cross multiply
    487.42x = 672.54 × 277.55
  4. Step 4: Simplify right side
    487.42x = 186,663.48
  5. Step 5: Solve for x
    x = 186,663.48/487.42
  6. Step 6: Final answer
    x = 382.96

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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.