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Finding the Fourth Proportional to 334.22, 459.99 and 292.88

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Solution

The fourth proportional to 334.22, 459.99 and 292.88 is: 403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.22 : 459.99 = 292.88 : x
  2. Step 2: Convert to fraction form
    334.22/459.99 = 292.88/x
  3. Step 3: Cross multiply
    334.22x = 459.99 × 292.88
  4. Step 4: Simplify right side
    334.22x = 134,721.87
  5. Step 5: Solve for x
    x = 134,721.87/334.22
  6. Step 6: Final answer
    x = 403.09

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