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Finding the Fourth Proportional to 303.95, 419.96 and 285.68

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Solution

The fourth proportional to 303.95, 419.96 and 285.68 is: 394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.95 : 419.96 = 285.68 : x
  2. Step 2: Convert to fraction form
    303.95/419.96 = 285.68/x
  3. Step 3: Cross multiply
    303.95x = 419.96 × 285.68
  4. Step 4: Simplify right side
    303.95x = 119,974.17
  5. Step 5: Solve for x
    x = 119,974.17/303.95
  6. Step 6: Final answer
    x = 394.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.