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Finding the Fourth Proportional to 667.86, 1,001.58 and 302.97

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Solution

The fourth proportional to 667.86, 1,001.58 and 302.97 is: 454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.86 : 1,001.58 = 302.97 : x
  2. Step 2: Convert to fraction form
    667.86/1,001.58 = 302.97/x
  3. Step 3: Cross multiply
    667.86x = 1,001.58 × 302.97
  4. Step 4: Simplify right side
    667.86x = 303,448.69
  5. Step 5: Solve for x
    x = 303,448.69/667.86
  6. Step 6: Final answer
    x = 454.36

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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.