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Finding the Fourth Proportional to 506.94, 697.83 and 429.18

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Solution

The fourth proportional to 506.94, 697.83 and 429.18 is: 590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.94 : 697.83 = 429.18 : x
  2. Step 2: Convert to fraction form
    506.94/697.83 = 429.18/x
  3. Step 3: Cross multiply
    506.94x = 697.83 × 429.18
  4. Step 4: Simplify right side
    506.94x = 299,494.68
  5. Step 5: Solve for x
    x = 299,494.68/506.94
  6. Step 6: Final answer
    x = 590.79

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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.