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Finding the Fourth Proportional to 556.05, 833.09 and 295.49

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Solution

The fourth proportional to 556.05, 833.09 and 295.49 is: 442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.05 : 833.09 = 295.49 : x
  2. Step 2: Convert to fraction form
    556.05/833.09 = 295.49/x
  3. Step 3: Cross multiply
    556.05x = 833.09 × 295.49
  4. Step 4: Simplify right side
    556.05x = 246,167.35
  5. Step 5: Solve for x
    x = 246,167.35/556.05
  6. Step 6: Final answer
    x = 442.71

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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.