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Finding the Fourth Proportional to 388.11, 535.37 and 277.35

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Solution

The fourth proportional to 388.11, 535.37 and 277.35 is: 382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.11 : 535.37 = 277.35 : x
  2. Step 2: Convert to fraction form
    388.11/535.37 = 277.35/x
  3. Step 3: Cross multiply
    388.11x = 535.37 × 277.35
  4. Step 4: Simplify right side
    388.11x = 148,484.87
  5. Step 5: Solve for x
    x = 148,484.87/388.11
  6. Step 6: Final answer
    x = 382.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.