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Finding the Fourth Proportional to 556.78, 833.87 and 282.21

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Solution

The fourth proportional to 556.78, 833.87 and 282.21 is: 422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.78 : 833.87 = 282.21 : x
  2. Step 2: Convert to fraction form
    556.78/833.87 = 282.21/x
  3. Step 3: Cross multiply
    556.78x = 833.87 × 282.21
  4. Step 4: Simplify right side
    556.78x = 235,326.45
  5. Step 5: Solve for x
    x = 235,326.45/556.78
  6. Step 6: Final answer
    x = 422.66

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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.