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Finding the Fourth Proportional to 556.94, 835.92 and 283.22

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Solution

The fourth proportional to 556.94, 835.92 and 283.22 is: 425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.94 : 835.92 = 283.22 : x
  2. Step 2: Convert to fraction form
    556.94/835.92 = 283.22/x
  3. Step 3: Cross multiply
    556.94x = 835.92 × 283.22
  4. Step 4: Simplify right side
    556.94x = 236,749.26
  5. Step 5: Solve for x
    x = 236,749.26/556.94
  6. Step 6: Final answer
    x = 425.09

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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.