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Finding the Fourth Proportional to 613.74, 846.89 and 348.16

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Solution

The fourth proportional to 613.74, 846.89 and 348.16 is: 480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.74 : 846.89 = 348.16 : x
  2. Step 2: Convert to fraction form
    613.74/846.89 = 348.16/x
  3. Step 3: Cross multiply
    613.74x = 846.89 × 348.16
  4. Step 4: Simplify right side
    613.74x = 294,853.22
  5. Step 5: Solve for x
    x = 294,853.22/613.74
  6. Step 6: Final answer
    x = 480.42

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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.