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Finding the Fourth Proportional to 333.36, 498.96 and 272.64

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Solution

The fourth proportional to 333.36, 498.96 and 272.64 is: 408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.36 : 498.96 = 272.64 : x
  2. Step 2: Convert to fraction form
    333.36/498.96 = 272.64/x
  3. Step 3: Cross multiply
    333.36x = 498.96 × 272.64
  4. Step 4: Simplify right side
    333.36x = 136,036.45
  5. Step 5: Solve for x
    x = 136,036.45/333.36
  6. Step 6: Final answer
    x = 408.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.