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Finding the Fourth Proportional to 508.88, 762.77 and 277.53

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Solution

The fourth proportional to 508.88, 762.77 and 277.53 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.88 : 762.77 = 277.53 : x
  2. Step 2: Convert to fraction form
    508.88/762.77 = 277.53/x
  3. Step 3: Cross multiply
    508.88x = 762.77 × 277.53
  4. Step 4: Simplify right side
    508.88x = 211,687.83
  5. Step 5: Solve for x
    x = 211,687.83/508.88
  6. Step 6: Final answer
    x = 415.99

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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.