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Finding the Fourth Proportional to 552.40, 823.04 and 544.48

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Solution

The fourth proportional to 552.40, 823.04 and 544.48 is: 811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.40 : 823.04 = 544.48 : x
  2. Step 2: Convert to fraction form
    552.40/823.04 = 544.48/x
  3. Step 3: Cross multiply
    552.40x = 823.04 × 544.48
  4. Step 4: Simplify right side
    552.40x = 448,128.82
  5. Step 5: Solve for x
    x = 448,128.82/552.40
  6. Step 6: Final answer
    x = 811.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.