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Finding the Fourth Proportional to 797.30, 1,195.49 and 334.53

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Solution

The fourth proportional to 797.30, 1,195.49 and 334.53 is: 501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.30 : 1,195.49 = 334.53 : x
  2. Step 2: Convert to fraction form
    797.30/1,195.49 = 334.53/x
  3. Step 3: Cross multiply
    797.30x = 1,195.49 × 334.53
  4. Step 4: Simplify right side
    797.30x = 399,927.27
  5. Step 5: Solve for x
    x = 399,927.27/797.30
  6. Step 6: Final answer
    x = 501.60

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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.