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Finding the Fourth Proportional to 517.56, 776.01 and 209.35

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Solution

The fourth proportional to 517.56, 776.01 and 209.35 is: 313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 776.01 = 209.35 : x
  2. Step 2: Convert to fraction form
    517.56/776.01 = 209.35/x
  3. Step 3: Cross multiply
    517.56x = 776.01 × 209.35
  4. Step 4: Simplify right side
    517.56x = 162,457.69
  5. Step 5: Solve for x
    x = 162,457.69/517.56
  6. Step 6: Final answer
    x = 313.89

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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.