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Finding the Fourth Proportional to 503, 753.35 and 365.70

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Solution

The fourth proportional to 503, 753.35 and 365.70 is: 547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503 : 753.35 = 365.70 : x
  2. Step 2: Convert to fraction form
    503/753.35 = 365.70/x
  3. Step 3: Cross multiply
    503x = 753.35 × 365.70
  4. Step 4: Simplify right side
    503x = 275,500.10
  5. Step 5: Solve for x
    x = 275,500.10/503
  6. Step 6: Final answer
    x = 547.71

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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.