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Finding the Fourth Proportional to 431.88, 595.43 and 353.11

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Solution

The fourth proportional to 431.88, 595.43 and 353.11 is: 486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.88 : 595.43 = 353.11 : x
  2. Step 2: Convert to fraction form
    431.88/595.43 = 353.11/x
  3. Step 3: Cross multiply
    431.88x = 595.43 × 353.11
  4. Step 4: Simplify right side
    431.88x = 210,252.29
  5. Step 5: Solve for x
    x = 210,252.29/431.88
  6. Step 6: Final answer
    x = 486.83

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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.