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Finding the Fourth Proportional to 388.86, 582.34 and 242.25

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Solution

The fourth proportional to 388.86, 582.34 and 242.25 is: 362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.86 : 582.34 = 242.25 : x
  2. Step 2: Convert to fraction form
    388.86/582.34 = 242.25/x
  3. Step 3: Cross multiply
    388.86x = 582.34 × 242.25
  4. Step 4: Simplify right side
    388.86x = 141,071.87
  5. Step 5: Solve for x
    x = 141,071.87/388.86
  6. Step 6: Final answer
    x = 362.78

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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.