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Finding the Fourth Proportional to 537.55, 741.33 and 350.98

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Solution

The fourth proportional to 537.55, 741.33 and 350.98 is: 484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.55 : 741.33 = 350.98 : x
  2. Step 2: Convert to fraction form
    537.55/741.33 = 350.98/x
  3. Step 3: Cross multiply
    537.55x = 741.33 × 350.98
  4. Step 4: Simplify right side
    537.55x = 260,192.00
  5. Step 5: Solve for x
    x = 260,192.00/537.55
  6. Step 6: Final answer
    x = 484.03

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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.