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Finding the Fourth Proportional to 430.82, 594.34 and 290.97

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Solution

The fourth proportional to 430.82, 594.34 and 290.97 is: 401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.82 : 594.34 = 290.97 : x
  2. Step 2: Convert to fraction form
    430.82/594.34 = 290.97/x
  3. Step 3: Cross multiply
    430.82x = 594.34 × 290.97
  4. Step 4: Simplify right side
    430.82x = 172,933.65
  5. Step 5: Solve for x
    x = 172,933.65/430.82
  6. Step 6: Final answer
    x = 401.41

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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.