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Finding the Fourth Proportional to 505.69, 697.86 and 309.31

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Solution

The fourth proportional to 505.69, 697.86 and 309.31 is: 426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 697.86 = 309.31 : x
  2. Step 2: Convert to fraction form
    505.69/697.86 = 309.31/x
  3. Step 3: Cross multiply
    505.69x = 697.86 × 309.31
  4. Step 4: Simplify right side
    505.69x = 215,853.33
  5. Step 5: Solve for x
    x = 215,853.33/505.69
  6. Step 6: Final answer
    x = 426.85

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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.