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Finding the Fourth Proportional to 505.99, 698.25 and 284.97

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Solution

The fourth proportional to 505.99, 698.25 and 284.97 is: 393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.99 : 698.25 = 284.97 : x
  2. Step 2: Convert to fraction form
    505.99/698.25 = 284.97/x
  3. Step 3: Cross multiply
    505.99x = 698.25 × 284.97
  4. Step 4: Simplify right side
    505.99x = 198,980.30
  5. Step 5: Solve for x
    x = 198,980.30/505.99
  6. Step 6: Final answer
    x = 393.25

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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.