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Finding the Fourth Proportional to 319.47, 478.49 and 197.52

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Solution

The fourth proportional to 319.47, 478.49 and 197.52 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.47 : 478.49 = 197.52 : x
  2. Step 2: Convert to fraction form
    319.47/478.49 = 197.52/x
  3. Step 3: Cross multiply
    319.47x = 478.49 × 197.52
  4. Step 4: Simplify right side
    319.47x = 94,510.36
  5. Step 5: Solve for x
    x = 94,510.36/319.47
  6. Step 6: Final answer
    x = 295.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.