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Finding the Fourth Proportional to 319.90, 478.20 and 247

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Solution

The fourth proportional to 319.90, 478.20 and 247 is: 369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.90 : 478.20 = 247 : x
  2. Step 2: Convert to fraction form
    319.90/478.20 = 247/x
  3. Step 3: Cross multiply
    319.90x = 478.20 × 247
  4. Step 4: Simplify right side
    319.90x = 118,115.40
  5. Step 5: Solve for x
    x = 118,115.40/319.90
  6. Step 6: Final answer
    x = 369.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.