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Finding the Fourth Proportional to 388.57, 582.07 and 180.04

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Solution

The fourth proportional to 388.57, 582.07 and 180.04 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.57 : 582.07 = 180.04 : x
  2. Step 2: Convert to fraction form
    388.57/582.07 = 180.04/x
  3. Step 3: Cross multiply
    388.57x = 582.07 × 180.04
  4. Step 4: Simplify right side
    388.57x = 104,795.88
  5. Step 5: Solve for x
    x = 104,795.88/388.57
  6. Step 6: Final answer
    x = 269.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.