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Finding the Fourth Proportional to 667.83, 1,001.57 and 302.25

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Solution

The fourth proportional to 667.83, 1,001.57 and 302.25 is: 453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.83 : 1,001.57 = 302.25 : x
  2. Step 2: Convert to fraction form
    667.83/1,001.57 = 302.25/x
  3. Step 3: Cross multiply
    667.83x = 1,001.57 × 302.25
  4. Step 4: Simplify right side
    667.83x = 302,723.02
  5. Step 5: Solve for x
    x = 302,723.02/667.83
  6. Step 6: Final answer
    x = 453.29

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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.