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Finding the Fourth Proportional to 613.12, 846.09 and 333.35

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Solution

The fourth proportional to 613.12, 846.09 and 333.35 is: 460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.12 : 846.09 = 333.35 : x
  2. Step 2: Convert to fraction form
    613.12/846.09 = 333.35/x
  3. Step 3: Cross multiply
    613.12x = 846.09 × 333.35
  4. Step 4: Simplify right side
    613.12x = 282,044.29
  5. Step 5: Solve for x
    x = 282,044.29/613.12
  6. Step 6: Final answer
    x = 460.02

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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.