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Finding the Fourth Proportional to 537.80, 741.68 and 351.23

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Solution

The fourth proportional to 537.80, 741.68 and 351.23 is: 484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 741.68 = 351.23 : x
  2. Step 2: Convert to fraction form
    537.80/741.68 = 351.23/x
  3. Step 3: Cross multiply
    537.80x = 741.68 × 351.23
  4. Step 4: Simplify right side
    537.80x = 260,498.51
  5. Step 5: Solve for x
    x = 260,498.51/537.80
  6. Step 6: Final answer
    x = 484.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.