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Finding the Fourth Proportional to 613.18, 845.76 and 416.35

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Solution

The fourth proportional to 613.18, 845.76 and 416.35 is: 574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.18 : 845.76 = 416.35 : x
  2. Step 2: Convert to fraction form
    613.18/845.76 = 416.35/x
  3. Step 3: Cross multiply
    613.18x = 845.76 × 416.35
  4. Step 4: Simplify right side
    613.18x = 352,132.18
  5. Step 5: Solve for x
    x = 352,132.18/613.18
  6. Step 6: Final answer
    x = 574.27

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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.