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Finding the Fourth Proportional to 559.05, 837.62 and 342.17

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Solution

The fourth proportional to 559.05, 837.62 and 342.17 is: 512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.05 : 837.62 = 342.17 : x
  2. Step 2: Convert to fraction form
    559.05/837.62 = 342.17/x
  3. Step 3: Cross multiply
    559.05x = 837.62 × 342.17
  4. Step 4: Simplify right side
    559.05x = 286,608.44
  5. Step 5: Solve for x
    x = 286,608.44/559.05
  6. Step 6: Final answer
    x = 512.67

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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.