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Finding the Fourth Proportional to 293.46, 440.52 and 286.53

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Solution

The fourth proportional to 293.46, 440.52 and 286.53 is: 430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 440.52 = 286.53 : x
  2. Step 2: Convert to fraction form
    293.46/440.52 = 286.53/x
  3. Step 3: Cross multiply
    293.46x = 440.52 × 286.53
  4. Step 4: Simplify right side
    293.46x = 126,222.20
  5. Step 5: Solve for x
    x = 126,222.20/293.46
  6. Step 6: Final answer
    x = 430.12

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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.