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Finding the Fourth Proportional to 388.40, 566.20 and 388.40

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Solution

The fourth proportional to 388.40, 566.20 and 388.40 is: 566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.40 : 566.20 = 388.40 : x
  2. Step 2: Convert to fraction form
    388.40/566.20 = 388.40/x
  3. Step 3: Cross multiply
    388.40x = 566.20 × 388.40
  4. Step 4: Simplify right side
    388.40x = 219,912.08
  5. Step 5: Solve for x
    x = 219,912.08/388.40
  6. Step 6: Final answer
    x = 566.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.