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Finding the Fourth Proportional to 547.83, 822.08 and 496.58

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Solution

The fourth proportional to 547.83, 822.08 and 496.58 is: 745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.83 : 822.08 = 496.58 : x
  2. Step 2: Convert to fraction form
    547.83/822.08 = 496.58/x
  3. Step 3: Cross multiply
    547.83x = 822.08 × 496.58
  4. Step 4: Simplify right side
    547.83x = 408,225.62
  5. Step 5: Solve for x
    x = 408,225.62/547.83
  6. Step 6: Final answer
    x = 745.17

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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.