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Finding the Fourth Proportional to 431.96, 596.03 and 284.94

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Solution

The fourth proportional to 431.96, 596.03 and 284.94 is: 393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.96 : 596.03 = 284.94 : x
  2. Step 2: Convert to fraction form
    431.96/596.03 = 284.94/x
  3. Step 3: Cross multiply
    431.96x = 596.03 × 284.94
  4. Step 4: Simplify right side
    431.96x = 169,831.36
  5. Step 5: Solve for x
    x = 169,831.36/431.96
  6. Step 6: Final answer
    x = 393.17

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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.