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Finding the Fourth Proportional to 388.80, 536.60 and 365.36

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Solution

The fourth proportional to 388.80, 536.60 and 365.36 is: 504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.80 : 536.60 = 365.36 : x
  2. Step 2: Convert to fraction form
    388.80/536.60 = 365.36/x
  3. Step 3: Cross multiply
    388.80x = 536.60 × 365.36
  4. Step 4: Simplify right side
    388.80x = 196,052.18
  5. Step 5: Solve for x
    x = 196,052.18/388.80
  6. Step 6: Final answer
    x = 504.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.