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Finding the Fourth Proportional to 612.52, 845.97 and 415.69

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Solution

The fourth proportional to 612.52, 845.97 and 415.69 is: 574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.52 : 845.97 = 415.69 : x
  2. Step 2: Convert to fraction form
    612.52/845.97 = 415.69/x
  3. Step 3: Cross multiply
    612.52x = 845.97 × 415.69
  4. Step 4: Simplify right side
    612.52x = 351,661.27
  5. Step 5: Solve for x
    x = 351,661.27/612.52
  6. Step 6: Final answer
    x = 574.12

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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.