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Finding the Fourth Proportional to 613.34, 846.06 and 416.51

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Solution

The fourth proportional to 613.34, 846.06 and 416.51 is: 574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.34 : 846.06 = 416.51 : x
  2. Step 2: Convert to fraction form
    613.34/846.06 = 416.51/x
  3. Step 3: Cross multiply
    613.34x = 846.06 × 416.51
  4. Step 4: Simplify right side
    613.34x = 352,388.22
  5. Step 5: Solve for x
    x = 352,388.22/613.34
  6. Step 6: Final answer
    x = 574.54

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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.