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Finding the Fourth Proportional to 333.23, 460.04 and 298.13

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Solution

The fourth proportional to 333.23, 460.04 and 298.13 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.23 : 460.04 = 298.13 : x
  2. Step 2: Convert to fraction form
    333.23/460.04 = 298.13/x
  3. Step 3: Cross multiply
    333.23x = 460.04 × 298.13
  4. Step 4: Simplify right side
    333.23x = 137,147.93
  5. Step 5: Solve for x
    x = 137,147.93/333.23
  6. Step 6: Final answer
    x = 411.58

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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.