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Finding the Fourth Proportional to 503.37, 694.53 and 306.81

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Solution

The fourth proportional to 503.37, 694.53 and 306.81 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.37 : 694.53 = 306.81 : x
  2. Step 2: Convert to fraction form
    503.37/694.53 = 306.81/x
  3. Step 3: Cross multiply
    503.37x = 694.53 × 306.81
  4. Step 4: Simplify right side
    503.37x = 213,088.75
  5. Step 5: Solve for x
    x = 213,088.75/503.37
  6. Step 6: Final answer
    x = 423.32

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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.