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Finding the Fourth Proportional to 388.94, 583.42 and 266.84

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Solution

The fourth proportional to 388.94, 583.42 and 266.84 is: 400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.94 : 583.42 = 266.84 : x
  2. Step 2: Convert to fraction form
    388.94/583.42 = 266.84/x
  3. Step 3: Cross multiply
    388.94x = 583.42 × 266.84
  4. Step 4: Simplify right side
    388.94x = 155,676.21
  5. Step 5: Solve for x
    x = 155,676.21/388.94
  6. Step 6: Final answer
    x = 400.26

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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.