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Finding the Fourth Proportional to 286.65, 430.34 and 285.34

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Solution

The fourth proportional to 286.65, 430.34 and 285.34 is: 428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.65 : 430.34 = 285.34 : x
  2. Step 2: Convert to fraction form
    286.65/430.34 = 285.34/x
  3. Step 3: Cross multiply
    286.65x = 430.34 × 285.34
  4. Step 4: Simplify right side
    286.65x = 122,790.71
  5. Step 5: Solve for x
    x = 122,790.71/286.65
  6. Step 6: Final answer
    x = 428.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.