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Finding the Fourth Proportional to 622.52, 857.70 and 425.68

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Solution

The fourth proportional to 622.52, 857.70 and 425.68 is: 586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.52 : 857.70 = 425.68 : x
  2. Step 2: Convert to fraction form
    622.52/857.70 = 425.68/x
  3. Step 3: Cross multiply
    622.52x = 857.70 × 425.68
  4. Step 4: Simplify right side
    622.52x = 365,105.74
  5. Step 5: Solve for x
    x = 365,105.74/622.52
  6. Step 6: Final answer
    x = 586.50

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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.