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Finding the Fourth Proportional to 558.71, 838.07 and 193.50

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Solution

The fourth proportional to 558.71, 838.07 and 193.50 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.71 : 838.07 = 193.50 : x
  2. Step 2: Convert to fraction form
    558.71/838.07 = 193.50/x
  3. Step 3: Cross multiply
    558.71x = 838.07 × 193.50
  4. Step 4: Simplify right side
    558.71x = 162,165.58
  5. Step 5: Solve for x
    x = 162,165.58/558.71
  6. Step 6: Final answer
    x = 290.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.