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Finding the Fourth Proportional to 511.30, 766.95 and 295.30

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Solution

The fourth proportional to 511.30, 766.95 and 295.30 is: 442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 766.95 = 295.30 : x
  2. Step 2: Convert to fraction form
    511.30/766.95 = 295.30/x
  3. Step 3: Cross multiply
    511.30x = 766.95 × 295.30
  4. Step 4: Simplify right side
    511.30x = 226,480.34
  5. Step 5: Solve for x
    x = 226,480.34/511.30
  6. Step 6: Final answer
    x = 442.95

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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.