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Finding the Fourth Proportional to 456.17, 684.25 and 293.96

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Solution

The fourth proportional to 456.17, 684.25 and 293.96 is: 440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.17 : 684.25 = 293.96 : x
  2. Step 2: Convert to fraction form
    456.17/684.25 = 293.96/x
  3. Step 3: Cross multiply
    456.17x = 684.25 × 293.96
  4. Step 4: Simplify right side
    456.17x = 201,142.13
  5. Step 5: Solve for x
    x = 201,142.13/456.17
  6. Step 6: Final answer
    x = 440.94

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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.