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Finding the Fourth Proportional to 334.34, 460.91 and 295.19

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Solution

The fourth proportional to 334.34, 460.91 and 295.19 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.34 : 460.91 = 295.19 : x
  2. Step 2: Convert to fraction form
    334.34/460.91 = 295.19/x
  3. Step 3: Cross multiply
    334.34x = 460.91 × 295.19
  4. Step 4: Simplify right side
    334.34x = 136,052.24
  5. Step 5: Solve for x
    x = 136,052.24/334.34
  6. Step 6: Final answer
    x = 406.93

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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.