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Finding the Fourth Proportional to 388.08, 584.46 and 292.56

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Solution

The fourth proportional to 388.08, 584.46 and 292.56 is: 440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 584.46 = 292.56 : x
  2. Step 2: Convert to fraction form
    388.08/584.46 = 292.56/x
  3. Step 3: Cross multiply
    388.08x = 584.46 × 292.56
  4. Step 4: Simplify right side
    388.08x = 170,989.62
  5. Step 5: Solve for x
    x = 170,989.62/388.08
  6. Step 6: Final answer
    x = 440.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.