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Finding the Fourth Proportional to 431.31, 595.61 and 313.97

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Solution

The fourth proportional to 431.31, 595.61 and 313.97 is: 433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.31 : 595.61 = 313.97 : x
  2. Step 2: Convert to fraction form
    431.31/595.61 = 313.97/x
  3. Step 3: Cross multiply
    431.31x = 595.61 × 313.97
  4. Step 4: Simplify right side
    431.31x = 186,999.12
  5. Step 5: Solve for x
    x = 186,999.12/431.31
  6. Step 6: Final answer
    x = 433.56

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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.