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Finding the Fourth Proportional to 431.50, 594.92 and 284.18

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Solution

The fourth proportional to 431.50, 594.92 and 284.18 is: 391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.50 : 594.92 = 284.18 : x
  2. Step 2: Convert to fraction form
    431.50/594.92 = 284.18/x
  3. Step 3: Cross multiply
    431.50x = 594.92 × 284.18
  4. Step 4: Simplify right side
    431.50x = 169,064.37
  5. Step 5: Solve for x
    x = 169,064.37/431.50
  6. Step 6: Final answer
    x = 391.81

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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.