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Finding the Fourth Proportional to 548.47, 822.66 and 288.37

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Solution

The fourth proportional to 548.47, 822.66 and 288.37 is: 432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.47 : 822.66 = 288.37 : x
  2. Step 2: Convert to fraction form
    548.47/822.66 = 288.37/x
  3. Step 3: Cross multiply
    548.47x = 822.66 × 288.37
  4. Step 4: Simplify right side
    548.47x = 237,230.46
  5. Step 5: Solve for x
    x = 237,230.46/548.47
  6. Step 6: Final answer
    x = 432.53

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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.