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Finding the Fourth Proportional to 334.09, 460.99 and 307.21

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Solution

The fourth proportional to 334.09, 460.99 and 307.21 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.09 : 460.99 = 307.21 : x
  2. Step 2: Convert to fraction form
    334.09/460.99 = 307.21/x
  3. Step 3: Cross multiply
    334.09x = 460.99 × 307.21
  4. Step 4: Simplify right side
    334.09x = 141,620.83
  5. Step 5: Solve for x
    x = 141,620.83/334.09
  6. Step 6: Final answer
    x = 423.90

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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.