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Finding the Fourth Proportional to 511.87, 764.06 and 468.58

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Solution

The fourth proportional to 511.87, 764.06 and 468.58 is: 699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.87 : 764.06 = 468.58 : x
  2. Step 2: Convert to fraction form
    511.87/764.06 = 468.58/x
  3. Step 3: Cross multiply
    511.87x = 764.06 × 468.58
  4. Step 4: Simplify right side
    511.87x = 358,023.23
  5. Step 5: Solve for x
    x = 358,023.23/511.87
  6. Step 6: Final answer
    x = 699.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.