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Finding the Fourth Proportional to 431.16, 594.66 and 300.24

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Solution

The fourth proportional to 431.16, 594.66 and 300.24 is: 414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 594.66 = 300.24 : x
  2. Step 2: Convert to fraction form
    431.16/594.66 = 300.24/x
  3. Step 3: Cross multiply
    431.16x = 594.66 × 300.24
  4. Step 4: Simplify right side
    431.16x = 178,540.72
  5. Step 5: Solve for x
    x = 178,540.72/431.16
  6. Step 6: Final answer
    x = 414.09

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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.