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Finding the Fourth Proportional to 613.42, 846.51 and 333.65

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Solution

The fourth proportional to 613.42, 846.51 and 333.65 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.42 : 846.51 = 333.65 : x
  2. Step 2: Convert to fraction form
    613.42/846.51 = 333.65/x
  3. Step 3: Cross multiply
    613.42x = 846.51 × 333.65
  4. Step 4: Simplify right side
    613.42x = 282,438.06
  5. Step 5: Solve for x
    x = 282,438.06/613.42
  6. Step 6: Final answer
    x = 460.43

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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.