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Finding the Fourth Proportional to 556.11, 833.63 and 209.36

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Solution

The fourth proportional to 556.11, 833.63 and 209.36 is: 313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.11 : 833.63 = 209.36 : x
  2. Step 2: Convert to fraction form
    556.11/833.63 = 209.36/x
  3. Step 3: Cross multiply
    556.11x = 833.63 × 209.36
  4. Step 4: Simplify right side
    556.11x = 174,529.81
  5. Step 5: Solve for x
    x = 174,529.81/556.11
  6. Step 6: Final answer
    x = 313.84

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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.