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Finding the Fourth Proportional to 424.13, 635.04 and 333

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Solution

The fourth proportional to 424.13, 635.04 and 333 is: 498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.13 : 635.04 = 333 : x
  2. Step 2: Convert to fraction form
    424.13/635.04 = 333/x
  3. Step 3: Cross multiply
    424.13x = 635.04 × 333
  4. Step 4: Simplify right side
    424.13x = 211,468.32
  5. Step 5: Solve for x
    x = 211,468.32/424.13
  6. Step 6: Final answer
    x = 498.60

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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.