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Finding the Fourth Proportional to 511.90, 768.24 and 507.84

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Solution

The fourth proportional to 511.90, 768.24 and 507.84 is: 762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.90 : 768.24 = 507.84 : x
  2. Step 2: Convert to fraction form
    511.90/768.24 = 507.84/x
  3. Step 3: Cross multiply
    511.90x = 768.24 × 507.84
  4. Step 4: Simplify right side
    511.90x = 390,143.00
  5. Step 5: Solve for x
    x = 390,143.00/511.90
  6. Step 6: Final answer
    x = 762.15

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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.