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Finding the Fourth Proportional to 548.51, 823.10 and 288.38

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Solution

The fourth proportional to 548.51, 823.10 and 288.38 is: 432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.51 : 823.10 = 288.38 : x
  2. Step 2: Convert to fraction form
    548.51/823.10 = 288.38/x
  3. Step 3: Cross multiply
    548.51x = 823.10 × 288.38
  4. Step 4: Simplify right side
    548.51x = 237,366.19
  5. Step 5: Solve for x
    x = 237,366.19/548.51
  6. Step 6: Final answer
    x = 432.75

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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.