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Finding the Fourth Proportional to 506.08, 698.70 and 319.60

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Solution

The fourth proportional to 506.08, 698.70 and 319.60 is: 441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.08 : 698.70 = 319.60 : x
  2. Step 2: Convert to fraction form
    506.08/698.70 = 319.60/x
  3. Step 3: Cross multiply
    506.08x = 698.70 × 319.60
  4. Step 4: Simplify right side
    506.08x = 223,304.52
  5. Step 5: Solve for x
    x = 223,304.52/506.08
  6. Step 6: Final answer
    x = 441.24

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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.