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Finding the Fourth Proportional to 612.10, 843.70 and 415.54

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Solution

The fourth proportional to 612.10, 843.70 and 415.54 is: 572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.10 : 843.70 = 415.54 : x
  2. Step 2: Convert to fraction form
    612.10/843.70 = 415.54/x
  3. Step 3: Cross multiply
    612.10x = 843.70 × 415.54
  4. Step 4: Simplify right side
    612.10x = 350,591.10
  5. Step 5: Solve for x
    x = 350,591.10/612.10
  6. Step 6: Final answer
    x = 572.77

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