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Finding the Fourth Proportional to 339.40, 510.78 and 305.85

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Solution

The fourth proportional to 339.40, 510.78 and 305.85 is: 460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.40 : 510.78 = 305.85 : x
  2. Step 2: Convert to fraction form
    339.40/510.78 = 305.85/x
  3. Step 3: Cross multiply
    339.40x = 510.78 × 305.85
  4. Step 4: Simplify right side
    339.40x = 156,222.06
  5. Step 5: Solve for x
    x = 156,222.06/339.40
  6. Step 6: Final answer
    x = 460.29

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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.