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Finding the Fourth Proportional to 503.50, 694.64 and 316.92

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Solution

The fourth proportional to 503.50, 694.64 and 316.92 is: 437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.50 : 694.64 = 316.92 : x
  2. Step 2: Convert to fraction form
    503.50/694.64 = 316.92/x
  3. Step 3: Cross multiply
    503.50x = 694.64 × 316.92
  4. Step 4: Simplify right side
    503.50x = 220,143.72
  5. Step 5: Solve for x
    x = 220,143.72/503.50
  6. Step 6: Final answer
    x = 437.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.