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Finding the Fourth Proportional to 622.98, 858.33 and 543.69

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Solution

The fourth proportional to 622.98, 858.33 and 543.69 is: 749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.98 : 858.33 = 543.69 : x
  2. Step 2: Convert to fraction form
    622.98/858.33 = 543.69/x
  3. Step 3: Cross multiply
    622.98x = 858.33 × 543.69
  4. Step 4: Simplify right side
    622.98x = 466,665.44
  5. Step 5: Solve for x
    x = 466,665.44/622.98
  6. Step 6: Final answer
    x = 749.09

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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.