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Finding the Fourth Proportional to 503.12, 757.47 and 394.02

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Solution

The fourth proportional to 503.12, 757.47 and 394.02 is: 593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.12 : 757.47 = 394.02 : x
  2. Step 2: Convert to fraction form
    503.12/757.47 = 394.02/x
  3. Step 3: Cross multiply
    503.12x = 757.47 × 394.02
  4. Step 4: Simplify right side
    503.12x = 298,458.33
  5. Step 5: Solve for x
    x = 298,458.33/503.12
  6. Step 6: Final answer
    x = 593.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.