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Finding the Fourth Proportional to 388.47, 582.72 and 95.98

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Solution

The fourth proportional to 388.47, 582.72 and 95.98 is: 143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.47 : 582.72 = 95.98 : x
  2. Step 2: Convert to fraction form
    388.47/582.72 = 95.98/x
  3. Step 3: Cross multiply
    388.47x = 582.72 × 95.98
  4. Step 4: Simplify right side
    388.47x = 55,929.47
  5. Step 5: Solve for x
    x = 55,929.47/388.47
  6. Step 6: Final answer
    x = 143.97

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