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Finding the Fourth Proportional to 612.92, 846.52 and 416.09

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Solution

The fourth proportional to 612.92, 846.52 and 416.09 is: 574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.92 : 846.52 = 416.09 : x
  2. Step 2: Convert to fraction form
    612.92/846.52 = 416.09/x
  3. Step 3: Cross multiply
    612.92x = 846.52 × 416.09
  4. Step 4: Simplify right side
    612.92x = 352,229.58
  5. Step 5: Solve for x
    x = 352,229.58/612.92
  6. Step 6: Final answer
    x = 574.67

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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.