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Finding the Fourth Proportional to 612.54, 919.11 and 287.52

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Solution

The fourth proportional to 612.54, 919.11 and 287.52 is: 431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.54 : 919.11 = 287.52 : x
  2. Step 2: Convert to fraction form
    612.54/919.11 = 287.52/x
  3. Step 3: Cross multiply
    612.54x = 919.11 × 287.52
  4. Step 4: Simplify right side
    612.54x = 264,262.51
  5. Step 5: Solve for x
    x = 264,262.51/612.54
  6. Step 6: Final answer
    x = 431.42

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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.