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Finding the Fourth Proportional to 431.04, 594.84 and 254.04

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Solution

The fourth proportional to 431.04, 594.84 and 254.04 is: 350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.04 : 594.84 = 254.04 : x
  2. Step 2: Convert to fraction form
    431.04/594.84 = 254.04/x
  3. Step 3: Cross multiply
    431.04x = 594.84 × 254.04
  4. Step 4: Simplify right side
    431.04x = 151,113.15
  5. Step 5: Solve for x
    x = 151,113.15/431.04
  6. Step 6: Final answer
    x = 350.58

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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.