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Finding the Fourth Proportional to 624.92, 932.83 and 573.56

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Solution

The fourth proportional to 624.92, 932.83 and 573.56 is: 856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.92 : 932.83 = 573.56 : x
  2. Step 2: Convert to fraction form
    624.92/932.83 = 573.56/x
  3. Step 3: Cross multiply
    624.92x = 932.83 × 573.56
  4. Step 4: Simplify right side
    624.92x = 535,033.97
  5. Step 5: Solve for x
    x = 535,033.97/624.92
  6. Step 6: Final answer
    x = 856.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.