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Finding the Fourth Proportional to 388.47, 535.77 and 283.44

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Solution

The fourth proportional to 388.47, 535.77 and 283.44 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.47 : 535.77 = 283.44 : x
  2. Step 2: Convert to fraction form
    388.47/535.77 = 283.44/x
  3. Step 3: Cross multiply
    388.47x = 535.77 × 283.44
  4. Step 4: Simplify right side
    388.47x = 151,858.65
  5. Step 5: Solve for x
    x = 151,858.65/388.47
  6. Step 6: Final answer
    x = 390.91

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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.