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Finding the Fourth Proportional to 612.72, 919.17 and 304.74

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Solution

The fourth proportional to 612.72, 919.17 and 304.74 is: 457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.72 : 919.17 = 304.74 : x
  2. Step 2: Convert to fraction form
    612.72/919.17 = 304.74/x
  3. Step 3: Cross multiply
    612.72x = 919.17 × 304.74
  4. Step 4: Simplify right side
    612.72x = 280,107.87
  5. Step 5: Solve for x
    x = 280,107.87/612.72
  6. Step 6: Final answer
    x = 457.15

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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.