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Finding the Fourth Proportional to 339.74, 509.59 and 96.30

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Solution

The fourth proportional to 339.74, 509.59 and 96.30 is: 144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.74 : 509.59 = 96.30 : x
  2. Step 2: Convert to fraction form
    339.74/509.59 = 96.30/x
  3. Step 3: Cross multiply
    339.74x = 509.59 × 96.30
  4. Step 4: Simplify right side
    339.74x = 49,073.64
  5. Step 5: Solve for x
    x = 49,073.64/339.74
  6. Step 6: Final answer
    x = 144.45

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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.