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Finding the Fourth Proportional to 556.83, 835.36 and 232.22

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Solution

The fourth proportional to 556.83, 835.36 and 232.22 is: 348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.83 : 835.36 = 232.22 : x
  2. Step 2: Convert to fraction form
    556.83/835.36 = 232.22/x
  3. Step 3: Cross multiply
    556.83x = 835.36 × 232.22
  4. Step 4: Simplify right side
    556.83x = 193,988.81
  5. Step 5: Solve for x
    x = 193,988.81/556.83
  6. Step 6: Final answer
    x = 348.38

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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.