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Finding the Fourth Proportional to 295.96, 441.17 and 293.68

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Solution

The fourth proportional to 295.96, 441.17 and 293.68 is: 437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.96 : 441.17 = 293.68 : x
  2. Step 2: Convert to fraction form
    295.96/441.17 = 293.68/x
  3. Step 3: Cross multiply
    295.96x = 441.17 × 293.68
  4. Step 4: Simplify right side
    295.96x = 129,562.81
  5. Step 5: Solve for x
    x = 129,562.81/295.96
  6. Step 6: Final answer
    x = 437.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.