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Finding the Fourth Proportional to 511.17, 765.40 and 407.76

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Solution

The fourth proportional to 511.17, 765.40 and 407.76 is: 610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.17 : 765.40 = 407.76 : x
  2. Step 2: Convert to fraction form
    511.17/765.40 = 407.76/x
  3. Step 3: Cross multiply
    511.17x = 765.40 × 407.76
  4. Step 4: Simplify right side
    511.17x = 312,099.50
  5. Step 5: Solve for x
    x = 312,099.50/511.17
  6. Step 6: Final answer
    x = 610.56

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Why These Related Problems?

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