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Finding the Fourth Proportional to 557.83, 837.03 and 327.17

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Solution

The fourth proportional to 557.83, 837.03 and 327.17 is: 490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.83 : 837.03 = 327.17 : x
  2. Step 2: Convert to fraction form
    557.83/837.03 = 327.17/x
  3. Step 3: Cross multiply
    557.83x = 837.03 × 327.17
  4. Step 4: Simplify right side
    557.83x = 273,851.29
  5. Step 5: Solve for x
    x = 273,851.29/557.83
  6. Step 6: Final answer
    x = 490.92

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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.