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Finding the Fourth Proportional to 285.23, 393.06 and 232.91

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Solution

The fourth proportional to 285.23, 393.06 and 232.91 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.23 : 393.06 = 232.91 : x
  2. Step 2: Convert to fraction form
    285.23/393.06 = 232.91/x
  3. Step 3: Cross multiply
    285.23x = 393.06 × 232.91
  4. Step 4: Simplify right side
    285.23x = 91,547.99
  5. Step 5: Solve for x
    x = 91,547.99/285.23
  6. Step 6: Final answer
    x = 320.96

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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.