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Finding the Fourth Proportional to 703.30, 969.24 and 492.80

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Solution

The fourth proportional to 703.30, 969.24 and 492.80 is: 679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.30 : 969.24 = 492.80 : x
  2. Step 2: Convert to fraction form
    703.30/969.24 = 492.80/x
  3. Step 3: Cross multiply
    703.30x = 969.24 × 492.80
  4. Step 4: Simplify right side
    703.30x = 477,641.47
  5. Step 5: Solve for x
    x = 477,641.47/703.30
  6. Step 6: Final answer
    x = 679.14

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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.