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Finding the Fourth Proportional to 556.46, 835.19 and 296.68

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Solution

The fourth proportional to 556.46, 835.19 and 296.68 is: 445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.46 : 835.19 = 296.68 : x
  2. Step 2: Convert to fraction form
    556.46/835.19 = 296.68/x
  3. Step 3: Cross multiply
    556.46x = 835.19 × 296.68
  4. Step 4: Simplify right side
    556.46x = 247,782.82
  5. Step 5: Solve for x
    x = 247,782.82/556.46
  6. Step 6: Final answer
    x = 445.28

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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.