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Finding the Fourth Proportional to 611.34, 843.64 and 345.83

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Solution

The fourth proportional to 611.34, 843.64 and 345.83 is: 477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.34 : 843.64 = 345.83 : x
  2. Step 2: Convert to fraction form
    611.34/843.64 = 345.83/x
  3. Step 3: Cross multiply
    611.34x = 843.64 × 345.83
  4. Step 4: Simplify right side
    611.34x = 291,754.74
  5. Step 5: Solve for x
    x = 291,754.74/611.34
  6. Step 6: Final answer
    x = 477.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.