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Finding the Fourth Proportional to 453.73, 679.68 and 384.02

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Solution

The fourth proportional to 453.73, 679.68 and 384.02 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.73 : 679.68 = 384.02 : x
  2. Step 2: Convert to fraction form
    453.73/679.68 = 384.02/x
  3. Step 3: Cross multiply
    453.73x = 679.68 × 384.02
  4. Step 4: Simplify right side
    453.73x = 261,008.91
  5. Step 5: Solve for x
    x = 261,008.91/453.73
  6. Step 6: Final answer
    x = 575.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.