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Finding the Fourth Proportional to 634.23, 874.92 and 546.75

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Solution

The fourth proportional to 634.23, 874.92 and 546.75 is: 754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.23 : 874.92 = 546.75 : x
  2. Step 2: Convert to fraction form
    634.23/874.92 = 546.75/x
  3. Step 3: Cross multiply
    634.23x = 874.92 × 546.75
  4. Step 4: Simplify right side
    634.23x = 478,362.51
  5. Step 5: Solve for x
    x = 478,362.51/634.23
  6. Step 6: Final answer
    x = 754.24

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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.