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Finding the Fourth Proportional to 456.34, 684.54 and 250.80

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Solution

The fourth proportional to 456.34, 684.54 and 250.80 is: 376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.34 : 684.54 = 250.80 : x
  2. Step 2: Convert to fraction form
    456.34/684.54 = 250.80/x
  3. Step 3: Cross multiply
    456.34x = 684.54 × 250.80
  4. Step 4: Simplify right side
    456.34x = 171,682.63
  5. Step 5: Solve for x
    x = 171,682.63/456.34
  6. Step 6: Final answer
    x = 376.22

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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.