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Finding the Fourth Proportional to 334.24, 498.88 and 280.32

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Solution

The fourth proportional to 334.24, 498.88 and 280.32 is: 418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.24 : 498.88 = 280.32 : x
  2. Step 2: Convert to fraction form
    334.24/498.88 = 280.32/x
  3. Step 3: Cross multiply
    334.24x = 498.88 × 280.32
  4. Step 4: Simplify right side
    334.24x = 139,846.04
  5. Step 5: Solve for x
    x = 139,846.04/334.24
  6. Step 6: Final answer
    x = 418.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.