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Finding the Fourth Proportional to 388.04, 535.12 and 256.82

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Solution

The fourth proportional to 388.04, 535.12 and 256.82 is: 354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.04 : 535.12 = 256.82 : x
  2. Step 2: Convert to fraction form
    388.04/535.12 = 256.82/x
  3. Step 3: Cross multiply
    388.04x = 535.12 × 256.82
  4. Step 4: Simplify right side
    388.04x = 137,429.52
  5. Step 5: Solve for x
    x = 137,429.52/388.04
  6. Step 6: Final answer
    x = 354.16

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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.