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Finding the Fourth Proportional to 612.24, 845.09 and 488.75

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Solution

The fourth proportional to 612.24, 845.09 and 488.75 is: 674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.24 : 845.09 = 488.75 : x
  2. Step 2: Convert to fraction form
    612.24/845.09 = 488.75/x
  3. Step 3: Cross multiply
    612.24x = 845.09 × 488.75
  4. Step 4: Simplify right side
    612.24x = 413,031.07
  5. Step 5: Solve for x
    x = 413,031.07/612.24
  6. Step 6: Final answer
    x = 674.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.