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Finding the Fourth Proportional to 453.02, 624.32 and 369.86

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Solution

The fourth proportional to 453.02, 624.32 and 369.86 is: 509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.02 : 624.32 = 369.86 : x
  2. Step 2: Convert to fraction form
    453.02/624.32 = 369.86/x
  3. Step 3: Cross multiply
    453.02x = 624.32 × 369.86
  4. Step 4: Simplify right side
    453.02x = 230,906.02
  5. Step 5: Solve for x
    x = 230,906.02/453.02
  6. Step 6: Final answer
    x = 509.71

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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.