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Finding the Fourth Proportional to 879.32, 1,318.68 and 302.06

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Solution

The fourth proportional to 879.32, 1,318.68 and 302.06 is: 452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.32 : 1,318.68 = 302.06 : x
  2. Step 2: Convert to fraction form
    879.32/1,318.68 = 302.06/x
  3. Step 3: Cross multiply
    879.32x = 1,318.68 × 302.06
  4. Step 4: Simplify right side
    879.32x = 398,323.78
  5. Step 5: Solve for x
    x = 398,323.78/879.32
  6. Step 6: Final answer
    x = 452.99

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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.