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Finding the Fourth Proportional to 407.08, 609.20 and 333.10

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Solution

The fourth proportional to 407.08, 609.20 and 333.10 is: 498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.08 : 609.20 = 333.10 : x
  2. Step 2: Convert to fraction form
    407.08/609.20 = 333.10/x
  3. Step 3: Cross multiply
    407.08x = 609.20 × 333.10
  4. Step 4: Simplify right side
    407.08x = 202,924.52
  5. Step 5: Solve for x
    x = 202,924.52/407.08
  6. Step 6: Final answer
    x = 498.49

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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.