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Finding the Fourth Proportional to 552.84, 834.09 and 546.36

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Solution

The fourth proportional to 552.84, 834.09 and 546.36 is: 824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.84 : 834.09 = 546.36 : x
  2. Step 2: Convert to fraction form
    552.84/834.09 = 546.36/x
  3. Step 3: Cross multiply
    552.84x = 834.09 × 546.36
  4. Step 4: Simplify right side
    552.84x = 455,713.41
  5. Step 5: Solve for x
    x = 455,713.41/552.84
  6. Step 6: Final answer
    x = 824.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.