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Finding the Fourth Proportional to 613.91, 846.02 and 438.95

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Solution

The fourth proportional to 613.91, 846.02 and 438.95 is: 604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.91 : 846.02 = 438.95 : x
  2. Step 2: Convert to fraction form
    613.91/846.02 = 438.95/x
  3. Step 3: Cross multiply
    613.91x = 846.02 × 438.95
  4. Step 4: Simplify right side
    613.91x = 371,357.35
  5. Step 5: Solve for x
    x = 371,357.35/613.91
  6. Step 6: Final answer
    x = 604.91

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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.