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Finding the Fourth Proportional to 511.30, 766.95 and 328.90

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Solution

The fourth proportional to 511.30, 766.95 and 328.90 is: 493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 766.95 = 328.90 : x
  2. Step 2: Convert to fraction form
    511.30/766.95 = 328.90/x
  3. Step 3: Cross multiply
    511.30x = 766.95 × 328.90
  4. Step 4: Simplify right side
    511.30x = 252,249.86
  5. Step 5: Solve for x
    x = 252,249.86/511.30
  6. Step 6: Final answer
    x = 493.35

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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.