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Finding the Fourth Proportional to 431.26, 594.61 and 364.75

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Solution

The fourth proportional to 431.26, 594.61 and 364.75 is: 502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.26 : 594.61 = 364.75 : x
  2. Step 2: Convert to fraction form
    431.26/594.61 = 364.75/x
  3. Step 3: Cross multiply
    431.26x = 594.61 × 364.75
  4. Step 4: Simplify right side
    431.26x = 216,884.00
  5. Step 5: Solve for x
    x = 216,884.00/431.26
  6. Step 6: Final answer
    x = 502.91

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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.