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Finding the Fourth Proportional to 503.19, 755.73 and 462.57

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Solution

The fourth proportional to 503.19, 755.73 and 462.57 is: 694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.19 : 755.73 = 462.57 : x
  2. Step 2: Convert to fraction form
    503.19/755.73 = 462.57/x
  3. Step 3: Cross multiply
    503.19x = 755.73 × 462.57
  4. Step 4: Simplify right side
    503.19x = 349,578.03
  5. Step 5: Solve for x
    x = 349,578.03/503.19
  6. Step 6: Final answer
    x = 694.72

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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.