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Finding the Fourth Proportional to 870.22, 1,305.46 and 293.26

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Solution

The fourth proportional to 870.22, 1,305.46 and 293.26 is: 439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.22 : 1,305.46 = 293.26 : x
  2. Step 2: Convert to fraction form
    870.22/1,305.46 = 293.26/x
  3. Step 3: Cross multiply
    870.22x = 1,305.46 × 293.26
  4. Step 4: Simplify right side
    870.22x = 382,839.20
  5. Step 5: Solve for x
    x = 382,839.20/870.22
  6. Step 6: Final answer
    x = 439.93

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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.