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Finding the Fourth Proportional to 388.23, 535.89 and 277.77

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Solution

The fourth proportional to 388.23, 535.89 and 277.77 is: 383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.23 : 535.89 = 277.77 : x
  2. Step 2: Convert to fraction form
    388.23/535.89 = 277.77/x
  3. Step 3: Cross multiply
    388.23x = 535.89 × 277.77
  4. Step 4: Simplify right side
    388.23x = 148,854.17
  5. Step 5: Solve for x
    x = 148,854.17/388.23
  6. Step 6: Final answer
    x = 383.42

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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.