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Finding the Fourth Proportional to 508.69, 762.81 and 277.66

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Solution

The fourth proportional to 508.69, 762.81 and 277.66 is: 416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.69 : 762.81 = 277.66 : x
  2. Step 2: Convert to fraction form
    508.69/762.81 = 277.66/x
  3. Step 3: Cross multiply
    508.69x = 762.81 × 277.66
  4. Step 4: Simplify right side
    508.69x = 211,801.82
  5. Step 5: Solve for x
    x = 211,801.82/508.69
  6. Step 6: Final answer
    x = 416.37

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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.