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Finding the Fourth Proportional to 388.92, 583.57 and 242.63

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Solution

The fourth proportional to 388.92, 583.57 and 242.63 is: 364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.92 : 583.57 = 242.63 : x
  2. Step 2: Convert to fraction form
    388.92/583.57 = 242.63/x
  3. Step 3: Cross multiply
    388.92x = 583.57 × 242.63
  4. Step 4: Simplify right side
    388.92x = 141,593.47
  5. Step 5: Solve for x
    x = 141,593.47/388.92
  6. Step 6: Final answer
    x = 364.07

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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.