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Finding the Fourth Proportional to 388.58, 582.82 and 114.74

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Solution

The fourth proportional to 388.58, 582.82 and 114.74 is: 172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.58 : 582.82 = 114.74 : x
  2. Step 2: Convert to fraction form
    388.58/582.82 = 114.74/x
  3. Step 3: Cross multiply
    388.58x = 582.82 × 114.74
  4. Step 4: Simplify right side
    388.58x = 66,872.77
  5. Step 5: Solve for x
    x = 66,872.77/388.58
  6. Step 6: Final answer
    x = 172.10

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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.