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Finding the Fourth Proportional to 387.21, 533.39 and 288.80

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Solution

The fourth proportional to 387.21, 533.39 and 288.80 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.21 : 533.39 = 288.80 : x
  2. Step 2: Convert to fraction form
    387.21/533.39 = 288.80/x
  3. Step 3: Cross multiply
    387.21x = 533.39 × 288.80
  4. Step 4: Simplify right side
    387.21x = 154,038.92
  5. Step 5: Solve for x
    x = 154,038.92/387.21
  6. Step 6: Final answer
    x = 397.82

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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.