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Finding the Fourth Proportional to 456.35, 684.22 and 250.86

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Solution

The fourth proportional to 456.35, 684.22 and 250.86 is: 376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.35 : 684.22 = 250.86 : x
  2. Step 2: Convert to fraction form
    456.35/684.22 = 250.86/x
  3. Step 3: Cross multiply
    456.35x = 684.22 × 250.86
  4. Step 4: Simplify right side
    456.35x = 171,642.80
  5. Step 5: Solve for x
    x = 171,642.80/456.35
  6. Step 6: Final answer
    x = 376.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.