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Finding the Fourth Proportional to 305.67, 458.91 and 282.99

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Solution

The fourth proportional to 305.67, 458.91 and 282.99 is: 424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.67 : 458.91 = 282.99 : x
  2. Step 2: Convert to fraction form
    305.67/458.91 = 282.99/x
  3. Step 3: Cross multiply
    305.67x = 458.91 × 282.99
  4. Step 4: Simplify right side
    305.67x = 129,866.94
  5. Step 5: Solve for x
    x = 129,866.94/305.67
  6. Step 6: Final answer
    x = 424.86

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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.