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Finding the Fourth Proportional to 555.96, 834.04 and 209.28

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Solution

The fourth proportional to 555.96, 834.04 and 209.28 is: 313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 834.04 = 209.28 : x
  2. Step 2: Convert to fraction form
    555.96/834.04 = 209.28/x
  3. Step 3: Cross multiply
    555.96x = 834.04 × 209.28
  4. Step 4: Simplify right side
    555.96x = 174,547.89
  5. Step 5: Solve for x
    x = 174,547.89/555.96
  6. Step 6: Final answer
    x = 313.96

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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.