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Finding the Fourth Proportional to 634.58, 951.51 and 309.54

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Solution

The fourth proportional to 634.58, 951.51 and 309.54 is: 464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.58 : 951.51 = 309.54 : x
  2. Step 2: Convert to fraction form
    634.58/951.51 = 309.54/x
  3. Step 3: Cross multiply
    634.58x = 951.51 × 309.54
  4. Step 4: Simplify right side
    634.58x = 294,530.41
  5. Step 5: Solve for x
    x = 294,530.41/634.58
  6. Step 6: Final answer
    x = 464.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.