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Finding the Fourth Proportional to 556.21, 833.91 and 209.51

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Solution

The fourth proportional to 556.21, 833.91 and 209.51 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.21 : 833.91 = 209.51 : x
  2. Step 2: Convert to fraction form
    556.21/833.91 = 209.51/x
  3. Step 3: Cross multiply
    556.21x = 833.91 × 209.51
  4. Step 4: Simplify right side
    556.21x = 174,716.53
  5. Step 5: Solve for x
    x = 174,716.53/556.21
  6. Step 6: Final answer
    x = 314.12

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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.