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Finding the Fourth Proportional to 613.53, 846.68 and 333.77

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Solution

The fourth proportional to 613.53, 846.68 and 333.77 is: 460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.53 : 846.68 = 333.77 : x
  2. Step 2: Convert to fraction form
    613.53/846.68 = 333.77/x
  3. Step 3: Cross multiply
    613.53x = 846.68 × 333.77
  4. Step 4: Simplify right side
    613.53x = 282,595.33
  5. Step 5: Solve for x
    x = 282,595.33/613.53
  6. Step 6: Final answer
    x = 460.61

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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.