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Finding the Fourth Proportional to 504.96, 757.69 and 208.69

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Solution

The fourth proportional to 504.96, 757.69 and 208.69 is: 313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.96 : 757.69 = 208.69 : x
  2. Step 2: Convert to fraction form
    504.96/757.69 = 208.69/x
  3. Step 3: Cross multiply
    504.96x = 757.69 × 208.69
  4. Step 4: Simplify right side
    504.96x = 158,118.54
  5. Step 5: Solve for x
    x = 158,118.54/504.96
  6. Step 6: Final answer
    x = 313.13

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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.