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Finding the Fourth Proportional to 508.99, 763.49 and 143.77

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Solution

The fourth proportional to 508.99, 763.49 and 143.77 is: 215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.99 : 763.49 = 143.77 : x
  2. Step 2: Convert to fraction form
    508.99/763.49 = 143.77/x
  3. Step 3: Cross multiply
    508.99x = 763.49 × 143.77
  4. Step 4: Simplify right side
    508.99x = 109,766.96
  5. Step 5: Solve for x
    x = 109,766.96/508.99
  6. Step 6: Final answer
    x = 215.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.