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Finding the Fourth Proportional to 558.84, 838.36 and 193.53

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Solution

The fourth proportional to 558.84, 838.36 and 193.53 is: 290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.84 : 838.36 = 193.53 : x
  2. Step 2: Convert to fraction form
    558.84/838.36 = 193.53/x
  3. Step 3: Cross multiply
    558.84x = 838.36 × 193.53
  4. Step 4: Simplify right side
    558.84x = 162,247.81
  5. Step 5: Solve for x
    x = 162,247.81/558.84
  6. Step 6: Final answer
    x = 290.33

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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.