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Finding the Fourth Proportional to 333.53, 457.83 and 295.87

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Solution

The fourth proportional to 333.53, 457.83 and 295.87 is: 406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.53 : 457.83 = 295.87 : x
  2. Step 2: Convert to fraction form
    333.53/457.83 = 295.87/x
  3. Step 3: Cross multiply
    333.53x = 457.83 × 295.87
  4. Step 4: Simplify right side
    333.53x = 135,454.39
  5. Step 5: Solve for x
    x = 135,454.39/333.53
  6. Step 6: Final answer
    x = 406.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.