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Finding the Fourth Proportional to 558.90, 838.35 and 194.00

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Solution

The fourth proportional to 558.90, 838.35 and 194.00 is: 290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.90 : 838.35 = 194.00 : x
  2. Step 2: Convert to fraction form
    558.90/838.35 = 194.00/x
  3. Step 3: Cross multiply
    558.90x = 838.35 × 194.00
  4. Step 4: Simplify right side
    558.90x = 162,635.71
  5. Step 5: Solve for x
    x = 162,635.71/558.90
  6. Step 6: Final answer
    x = 290.99

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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.