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Finding the Fourth Proportional to 622.54, 858.45 and 534.34

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Solution

The fourth proportional to 622.54, 858.45 and 534.34 is: 736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.54 : 858.45 = 534.34 : x
  2. Step 2: Convert to fraction form
    622.54/858.45 = 534.34/x
  3. Step 3: Cross multiply
    622.54x = 858.45 × 534.34
  4. Step 4: Simplify right side
    622.54x = 458,704.17
  5. Step 5: Solve for x
    x = 458,704.17/622.54
  6. Step 6: Final answer
    x = 736.83

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Why These Related Problems?

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