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Finding the Fourth Proportional to 334.08, 459 and 310.32

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Solution

The fourth proportional to 334.08, 459 and 310.32 is: 426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.08 : 459 = 310.32 : x
  2. Step 2: Convert to fraction form
    334.08/459 = 310.32/x
  3. Step 3: Cross multiply
    334.08x = 459 × 310.32
  4. Step 4: Simplify right side
    334.08x = 142,436.88
  5. Step 5: Solve for x
    x = 142,436.88/334.08
  6. Step 6: Final answer
    x = 426.36

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