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Finding the Fourth Proportional to 624.06, 862.83 and 546.23

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Solution

The fourth proportional to 624.06, 862.83 and 546.23 is: 755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.06 : 862.83 = 546.23 : x
  2. Step 2: Convert to fraction form
    624.06/862.83 = 546.23/x
  3. Step 3: Cross multiply
    624.06x = 862.83 × 546.23
  4. Step 4: Simplify right side
    624.06x = 471,299.32
  5. Step 5: Solve for x
    x = 471,299.32/624.06
  6. Step 6: Final answer
    x = 755.21

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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.