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Finding the Fourth Proportional to 339.49, 509.32 and 96.01

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Solution

The fourth proportional to 339.49, 509.32 and 96.01 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.49 : 509.32 = 96.01 : x
  2. Step 2: Convert to fraction form
    339.49/509.32 = 96.01/x
  3. Step 3: Cross multiply
    339.49x = 509.32 × 96.01
  4. Step 4: Simplify right side
    339.49x = 48,900.81
  5. Step 5: Solve for x
    x = 48,900.81/339.49
  6. Step 6: Final answer
    x = 144.04

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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.