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Finding the Fourth Proportional to 503.78, 694.42 and 437.22

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Solution

The fourth proportional to 503.78, 694.42 and 437.22 is: 602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.78 : 694.42 = 437.22 : x
  2. Step 2: Convert to fraction form
    503.78/694.42 = 437.22/x
  3. Step 3: Cross multiply
    503.78x = 694.42 × 437.22
  4. Step 4: Simplify right side
    503.78x = 303,614.31
  5. Step 5: Solve for x
    x = 303,614.31/503.78
  6. Step 6: Final answer
    x = 602.67

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