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Finding the Fourth Proportional to 559.34, 838.91 and 194.07

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Solution

The fourth proportional to 559.34, 838.91 and 194.07 is: 291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.34 : 838.91 = 194.07 : x
  2. Step 2: Convert to fraction form
    559.34/838.91 = 194.07/x
  3. Step 3: Cross multiply
    559.34x = 838.91 × 194.07
  4. Step 4: Simplify right side
    559.34x = 162,802.10
  5. Step 5: Solve for x
    x = 162,802.10/559.34
  6. Step 6: Final answer
    x = 291.06

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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.