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Finding the Fourth Proportional to 339.10, 508.20 and 299.01

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Solution

The fourth proportional to 339.10, 508.20 and 299.01 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.10 : 508.20 = 299.01 : x
  2. Step 2: Convert to fraction form
    339.10/508.20 = 299.01/x
  3. Step 3: Cross multiply
    339.10x = 508.20 × 299.01
  4. Step 4: Simplify right side
    339.10x = 151,956.88
  5. Step 5: Solve for x
    x = 151,956.88/339.10
  6. Step 6: Final answer
    x = 448.12

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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.