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Finding the Fourth Proportional to 339.93, 509.93 and 96.47

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Solution

The fourth proportional to 339.93, 509.93 and 96.47 is: 144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.93 : 509.93 = 96.47 : x
  2. Step 2: Convert to fraction form
    339.93/509.93 = 96.47/x
  3. Step 3: Cross multiply
    339.93x = 509.93 × 96.47
  4. Step 4: Simplify right side
    339.93x = 49,195.06
  5. Step 5: Solve for x
    x = 49,195.06/339.93
  6. Step 6: Final answer
    x = 144.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.