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Finding the Fourth Proportional to 879.42, 1,319.33 and 302.26

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Solution

The fourth proportional to 879.42, 1,319.33 and 302.26 is: 453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.42 : 1,319.33 = 302.26 : x
  2. Step 2: Convert to fraction form
    879.42/1,319.33 = 302.26/x
  3. Step 3: Cross multiply
    879.42x = 1,319.33 × 302.26
  4. Step 4: Simplify right side
    879.42x = 398,780.69
  5. Step 5: Solve for x
    x = 398,780.69/879.42
  6. Step 6: Final answer
    x = 453.46

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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.