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Finding the Fourth Proportional to 559.17, 837.84 and 328.26

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Solution

The fourth proportional to 559.17, 837.84 and 328.26 is: 491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.17 : 837.84 = 328.26 : x
  2. Step 2: Convert to fraction form
    559.17/837.84 = 328.26/x
  3. Step 3: Cross multiply
    559.17x = 837.84 × 328.26
  4. Step 4: Simplify right side
    559.17x = 275,029.36
  5. Step 5: Solve for x
    x = 275,029.36/559.17
  6. Step 6: Final answer
    x = 491.85

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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.