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Finding the Fourth Proportional to 556.19, 833.70 and 209.27

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Solution

The fourth proportional to 556.19, 833.70 and 209.27 is: 313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.19 : 833.70 = 209.27 : x
  2. Step 2: Convert to fraction form
    556.19/833.70 = 209.27/x
  3. Step 3: Cross multiply
    556.19x = 833.70 × 209.27
  4. Step 4: Simplify right side
    556.19x = 174,470.48
  5. Step 5: Solve for x
    x = 174,470.48/556.19
  6. Step 6: Final answer
    x = 313.69

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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.