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Finding the Fourth Proportional to 548.17, 822.42 and 288.02

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Solution

The fourth proportional to 548.17, 822.42 and 288.02 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.17 : 822.42 = 288.02 : x
  2. Step 2: Convert to fraction form
    548.17/822.42 = 288.02/x
  3. Step 3: Cross multiply
    548.17x = 822.42 × 288.02
  4. Step 4: Simplify right side
    548.17x = 236,875.46
  5. Step 5: Solve for x
    x = 236,875.46/548.17
  6. Step 6: Final answer
    x = 432.12

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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.