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Finding the Fourth Proportional to 388.40, 562.10 and 388.40

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Solution

The fourth proportional to 388.40, 562.10 and 388.40 is: 562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.40 : 562.10 = 388.40 : x
  2. Step 2: Convert to fraction form
    388.40/562.10 = 388.40/x
  3. Step 3: Cross multiply
    388.40x = 562.10 × 388.40
  4. Step 4: Simplify right side
    388.40x = 218,319.64
  5. Step 5: Solve for x
    x = 218,319.64/388.40
  6. Step 6: Final answer
    x = 562.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.