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Finding the Fourth Proportional to 634.68, 874.66 and 508.50

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Solution

The fourth proportional to 634.68, 874.66 and 508.50 is: 700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.68 : 874.66 = 508.50 : x
  2. Step 2: Convert to fraction form
    634.68/874.66 = 508.50/x
  3. Step 3: Cross multiply
    634.68x = 874.66 × 508.50
  4. Step 4: Simplify right side
    634.68x = 444,764.61
  5. Step 5: Solve for x
    x = 444,764.61/634.68
  6. Step 6: Final answer
    x = 700.77

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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.