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Finding the Fourth Proportional to 612.45, 919.08 and 450.52

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Solution

The fourth proportional to 612.45, 919.08 and 450.52 is: 676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.45 : 919.08 = 450.52 : x
  2. Step 2: Convert to fraction form
    612.45/919.08 = 450.52/x
  3. Step 3: Cross multiply
    612.45x = 919.08 × 450.52
  4. Step 4: Simplify right side
    612.45x = 414,061.62
  5. Step 5: Solve for x
    x = 414,061.62/612.45
  6. Step 6: Final answer
    x = 676.07

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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.