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Finding the Fourth Proportional to 345.26, 518.52 and 310.04

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Solution

The fourth proportional to 345.26, 518.52 and 310.04 is: 465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.26 : 518.52 = 310.04 : x
  2. Step 2: Convert to fraction form
    345.26/518.52 = 310.04/x
  3. Step 3: Cross multiply
    345.26x = 518.52 × 310.04
  4. Step 4: Simplify right side
    345.26x = 160,761.94
  5. Step 5: Solve for x
    x = 160,761.94/345.26
  6. Step 6: Final answer
    x = 465.63

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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.