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Finding the Fourth Proportional to 350.29, 482.61 and 288.31

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Solution

The fourth proportional to 350.29, 482.61 and 288.31 is: 397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.29 : 482.61 = 288.31 : x
  2. Step 2: Convert to fraction form
    350.29/482.61 = 288.31/x
  3. Step 3: Cross multiply
    350.29x = 482.61 × 288.31
  4. Step 4: Simplify right side
    350.29x = 139,141.29
  5. Step 5: Solve for x
    x = 139,141.29/350.29
  6. Step 6: Final answer
    x = 397.22

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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.