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Finding the Fourth Proportional to 505.83, 698.45 and 408.03

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Solution

The fourth proportional to 505.83, 698.45 and 408.03 is: 563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 698.45 = 408.03 : x
  2. Step 2: Convert to fraction form
    505.83/698.45 = 408.03/x
  3. Step 3: Cross multiply
    505.83x = 698.45 × 408.03
  4. Step 4: Simplify right side
    505.83x = 284,983.89
  5. Step 5: Solve for x
    x = 284,983.89/505.83
  6. Step 6: Final answer
    x = 563.39

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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.