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Finding the Fourth Proportional to 552.02, 757.35 and 537.64

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Solution

The fourth proportional to 552.02, 757.35 and 537.64 is: 737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.02 : 757.35 = 537.64 : x
  2. Step 2: Convert to fraction form
    552.02/757.35 = 537.64/x
  3. Step 3: Cross multiply
    552.02x = 757.35 × 537.64
  4. Step 4: Simplify right side
    552.02x = 407,179.76
  5. Step 5: Solve for x
    x = 407,179.76/552.02
  6. Step 6: Final answer
    x = 737.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.