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Finding the Fourth Proportional to 703.47, 969.20 and 490.58

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Solution

The fourth proportional to 703.47, 969.20 and 490.58 is: 675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.47 : 969.20 = 490.58 : x
  2. Step 2: Convert to fraction form
    703.47/969.20 = 490.58/x
  3. Step 3: Cross multiply
    703.47x = 969.20 × 490.58
  4. Step 4: Simplify right side
    703.47x = 475,470.14
  5. Step 5: Solve for x
    x = 475,470.14/703.47
  6. Step 6: Final answer
    x = 675.89

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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.