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Finding the Fourth Proportional to 388.53, 582.71 and 114.64

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Solution

The fourth proportional to 388.53, 582.71 and 114.64 is: 171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.53 : 582.71 = 114.64 : x
  2. Step 2: Convert to fraction form
    388.53/582.71 = 114.64/x
  3. Step 3: Cross multiply
    388.53x = 582.71 × 114.64
  4. Step 4: Simplify right side
    388.53x = 66,801.87
  5. Step 5: Solve for x
    x = 66,801.87/388.53
  6. Step 6: Final answer
    x = 171.93

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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.