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Finding the Fourth Proportional to 506.50, 698.77 and 319.93

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Solution

The fourth proportional to 506.50, 698.77 and 319.93 is: 441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.50 : 698.77 = 319.93 : x
  2. Step 2: Convert to fraction form
    506.50/698.77 = 319.93/x
  3. Step 3: Cross multiply
    506.50x = 698.77 × 319.93
  4. Step 4: Simplify right side
    506.50x = 223,557.49
  5. Step 5: Solve for x
    x = 223,557.49/506.50
  6. Step 6: Final answer
    x = 441.38

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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.