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Finding the Fourth Proportional to 431.81, 596.29 and 314.46

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Solution

The fourth proportional to 431.81, 596.29 and 314.46 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 596.29 = 314.46 : x
  2. Step 2: Convert to fraction form
    431.81/596.29 = 314.46/x
  3. Step 3: Cross multiply
    431.81x = 596.29 × 314.46
  4. Step 4: Simplify right side
    431.81x = 187,509.35
  5. Step 5: Solve for x
    x = 187,509.35/431.81
  6. Step 6: Final answer
    x = 434.24

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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.