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Finding the Fourth Proportional to 505.87, 698.10 and 296.00

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Solution

The fourth proportional to 505.87, 698.10 and 296.00 is: 408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.87 : 698.10 = 296.00 : x
  2. Step 2: Convert to fraction form
    505.87/698.10 = 296.00/x
  3. Step 3: Cross multiply
    505.87x = 698.10 × 296.00
  4. Step 4: Simplify right side
    505.87x = 206,635.22
  5. Step 5: Solve for x
    x = 206,635.22/505.87
  6. Step 6: Final answer
    x = 408.48

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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.