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Finding the Fourth Proportional to 511.20, 765.18 and 337.47

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Solution

The fourth proportional to 511.20, 765.18 and 337.47 is: 505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.20 : 765.18 = 337.47 : x
  2. Step 2: Convert to fraction form
    511.20/765.18 = 337.47/x
  3. Step 3: Cross multiply
    511.20x = 765.18 × 337.47
  4. Step 4: Simplify right side
    511.20x = 258,225.29
  5. Step 5: Solve for x
    x = 258,225.29/511.20
  6. Step 6: Final answer
    x = 505.14

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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.