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Finding the Fourth Proportional to 431.20, 594.84 and 256.36

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Solution

The fourth proportional to 431.20, 594.84 and 256.36 is: 353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.20 : 594.84 = 256.36 : x
  2. Step 2: Convert to fraction form
    431.20/594.84 = 256.36/x
  3. Step 3: Cross multiply
    431.20x = 594.84 × 256.36
  4. Step 4: Simplify right side
    431.20x = 152,493.18
  5. Step 5: Solve for x
    x = 152,493.18/431.20
  6. Step 6: Final answer
    x = 353.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.