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Finding the Fourth Proportional to 453.86, 624.84 and 380.06

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Solution

The fourth proportional to 453.86, 624.84 and 380.06 is: 523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.86 : 624.84 = 380.06 : x
  2. Step 2: Convert to fraction form
    453.86/624.84 = 380.06/x
  3. Step 3: Cross multiply
    453.86x = 624.84 × 380.06
  4. Step 4: Simplify right side
    453.86x = 237,476.69
  5. Step 5: Solve for x
    x = 237,476.69/453.86
  6. Step 6: Final answer
    x = 523.24

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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.