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Finding the Fourth Proportional to 634.24, 875.27 and 354.50

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Solution

The fourth proportional to 634.24, 875.27 and 354.50 is: 489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.24 : 875.27 = 354.50 : x
  2. Step 2: Convert to fraction form
    634.24/875.27 = 354.50/x
  3. Step 3: Cross multiply
    634.24x = 875.27 × 354.50
  4. Step 4: Simplify right side
    634.24x = 310,283.22
  5. Step 5: Solve for x
    x = 310,283.22/634.24
  6. Step 6: Final answer
    x = 489.22

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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.