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Finding the Fourth Proportional to 879.30, 1,318.59 and 359.22

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Solution

The fourth proportional to 879.30, 1,318.59 and 359.22 is: 538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.30 : 1,318.59 = 359.22 : x
  2. Step 2: Convert to fraction form
    879.30/1,318.59 = 359.22/x
  3. Step 3: Cross multiply
    879.30x = 1,318.59 × 359.22
  4. Step 4: Simplify right side
    879.30x = 473,663.90
  5. Step 5: Solve for x
    x = 473,663.90/879.30
  6. Step 6: Final answer
    x = 538.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.