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Finding the Fourth Proportional to 634.48, 875.66 and 354.76

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Solution

The fourth proportional to 634.48, 875.66 and 354.76 is: 489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.48 : 875.66 = 354.76 : x
  2. Step 2: Convert to fraction form
    634.48/875.66 = 354.76/x
  3. Step 3: Cross multiply
    634.48x = 875.66 × 354.76
  4. Step 4: Simplify right side
    634.48x = 310,649.14
  5. Step 5: Solve for x
    x = 310,649.14/634.48
  6. Step 6: Final answer
    x = 489.61

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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.