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Finding the Fourth Proportional to 879.14, 1,318.95 and 302.06

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Solution

The fourth proportional to 879.14, 1,318.95 and 302.06 is: 453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.14 : 1,318.95 = 302.06 : x
  2. Step 2: Convert to fraction form
    879.14/1,318.95 = 302.06/x
  3. Step 3: Cross multiply
    879.14x = 1,318.95 × 302.06
  4. Step 4: Simplify right side
    879.14x = 398,402.04
  5. Step 5: Solve for x
    x = 398,402.04/879.14
  6. Step 6: Final answer
    x = 453.17

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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.