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Finding the Fourth Proportional to 703.23, 970.22 and 454.86

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Solution

The fourth proportional to 703.23, 970.22 and 454.86 is: 627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.23 : 970.22 = 454.86 : x
  2. Step 2: Convert to fraction form
    703.23/970.22 = 454.86/x
  3. Step 3: Cross multiply
    703.23x = 970.22 × 454.86
  4. Step 4: Simplify right side
    703.23x = 441,319.04
  5. Step 5: Solve for x
    x = 441,319.04/703.23
  6. Step 6: Final answer
    x = 627.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.