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Finding the Fourth Proportional to 559.76, 840.00 and 194.54

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Solution

The fourth proportional to 559.76, 840.00 and 194.54 is: 291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.76 : 840.00 = 194.54 : x
  2. Step 2: Convert to fraction form
    559.76/840.00 = 194.54/x
  3. Step 3: Cross multiply
    559.76x = 840.00 × 194.54
  4. Step 4: Simplify right side
    559.76x = 163,410.13
  5. Step 5: Solve for x
    x = 163,410.13/559.76
  6. Step 6: Final answer
    x = 291.93

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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.