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Finding the Fourth Proportional to 388.31, 535.24 and 277.64

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Solution

The fourth proportional to 388.31, 535.24 and 277.64 is: 382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.31 : 535.24 = 277.64 : x
  2. Step 2: Convert to fraction form
    388.31/535.24 = 277.64/x
  3. Step 3: Cross multiply
    388.31x = 535.24 × 277.64
  4. Step 4: Simplify right side
    388.31x = 148,603.71
  5. Step 5: Solve for x
    x = 148,603.71/388.31
  6. Step 6: Final answer
    x = 382.70

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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.