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Finding the Fourth Proportional to 604.98, 833.22 and 543.06

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Solution

The fourth proportional to 604.98, 833.22 and 543.06 is: 747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.98 : 833.22 = 543.06 : x
  2. Step 2: Convert to fraction form
    604.98/833.22 = 543.06/x
  3. Step 3: Cross multiply
    604.98x = 833.22 × 543.06
  4. Step 4: Simplify right side
    604.98x = 452,488.45
  5. Step 5: Solve for x
    x = 452,488.45/604.98
  6. Step 6: Final answer
    x = 747.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.