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Finding the Fourth Proportional to 612.33, 845.70 and 415.50

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Solution

The fourth proportional to 612.33, 845.70 and 415.50 is: 573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.33 : 845.70 = 415.50 : x
  2. Step 2: Convert to fraction form
    612.33/845.70 = 415.50/x
  3. Step 3: Cross multiply
    612.33x = 845.70 × 415.50
  4. Step 4: Simplify right side
    612.33x = 351,388.35
  5. Step 5: Solve for x
    x = 351,388.35/612.33
  6. Step 6: Final answer
    x = 573.85

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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.