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Finding the Fourth Proportional to 506.47, 698.46 and 319.64

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Solution

The fourth proportional to 506.47, 698.46 and 319.64 is: 440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.47 : 698.46 = 319.64 : x
  2. Step 2: Convert to fraction form
    506.47/698.46 = 319.64/x
  3. Step 3: Cross multiply
    506.47x = 698.46 × 319.64
  4. Step 4: Simplify right side
    506.47x = 223,252.26
  5. Step 5: Solve for x
    x = 223,252.26/506.47
  6. Step 6: Final answer
    x = 440.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.