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Finding the Fourth Proportional to 350.10, 482.76 and 219.06

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Solution

The fourth proportional to 350.10, 482.76 and 219.06 is: 302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.10 : 482.76 = 219.06 : x
  2. Step 2: Convert to fraction form
    350.10/482.76 = 219.06/x
  3. Step 3: Cross multiply
    350.10x = 482.76 × 219.06
  4. Step 4: Simplify right side
    350.10x = 105,753.41
  5. Step 5: Solve for x
    x = 105,753.41/350.10
  6. Step 6: Final answer
    x = 302.07

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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.