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Finding the Fourth Proportional to 503.86, 756.07 and 393.86

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Solution

The fourth proportional to 503.86, 756.07 and 393.86 is: 591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.86 : 756.07 = 393.86 : x
  2. Step 2: Convert to fraction form
    503.86/756.07 = 393.86/x
  3. Step 3: Cross multiply
    503.86x = 756.07 × 393.86
  4. Step 4: Simplify right side
    503.86x = 297,785.73
  5. Step 5: Solve for x
    x = 297,785.73/503.86
  6. Step 6: Final answer
    x = 591.01

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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.