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Finding the Fourth Proportional to 703.16, 1,054.52 and 234.54

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Solution

The fourth proportional to 703.16, 1,054.52 and 234.54 is: 351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.16 : 1,054.52 = 234.54 : x
  2. Step 2: Convert to fraction form
    703.16/1,054.52 = 234.54/x
  3. Step 3: Cross multiply
    703.16x = 1,054.52 × 234.54
  4. Step 4: Simplify right side
    703.16x = 247,325.95
  5. Step 5: Solve for x
    x = 247,325.95/703.16
  6. Step 6: Final answer
    x = 351.74

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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.