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Finding the Fourth Proportional to 555.77, 833.73 and 209.08

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Solution

The fourth proportional to 555.77, 833.73 and 209.08 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.77 : 833.73 = 209.08 : x
  2. Step 2: Convert to fraction form
    555.77/833.73 = 209.08/x
  3. Step 3: Cross multiply
    555.77x = 833.73 × 209.08
  4. Step 4: Simplify right side
    555.77x = 174,316.27
  5. Step 5: Solve for x
    x = 174,316.27/555.77
  6. Step 6: Final answer
    x = 313.65

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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.