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Finding the Fourth Proportional to 555.86, 833.88 and 209.22

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Solution

The fourth proportional to 555.86, 833.88 and 209.22 is: 313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.86 : 833.88 = 209.22 : x
  2. Step 2: Convert to fraction form
    555.86/833.88 = 209.22/x
  3. Step 3: Cross multiply
    555.86x = 833.88 × 209.22
  4. Step 4: Simplify right side
    555.86x = 174,461.24
  5. Step 5: Solve for x
    x = 174,461.24/555.86
  6. Step 6: Final answer
    x = 313.86

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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.