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Finding the Fourth Proportional to 470.91, 649.91 and 293.86

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Solution

The fourth proportional to 470.91, 649.91 and 293.86 is: 405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.91 : 649.91 = 293.86 : x
  2. Step 2: Convert to fraction form
    470.91/649.91 = 293.86/x
  3. Step 3: Cross multiply
    470.91x = 649.91 × 293.86
  4. Step 4: Simplify right side
    470.91x = 190,977.83
  5. Step 5: Solve for x
    x = 190,977.83/470.91
  6. Step 6: Final answer
    x = 405.55

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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.