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Finding the Fourth Proportional to 505.83, 698.03 and 387.60

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Solution

The fourth proportional to 505.83, 698.03 and 387.60 is: 534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 698.03 = 387.60 : x
  2. Step 2: Convert to fraction form
    505.83/698.03 = 387.60/x
  3. Step 3: Cross multiply
    505.83x = 698.03 × 387.60
  4. Step 4: Simplify right side
    505.83x = 270,556.43
  5. Step 5: Solve for x
    x = 270,556.43/505.83
  6. Step 6: Final answer
    x = 534.88

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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.