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Finding the Fourth Proportional to 613.03, 845.64 and 465.41

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Solution

The fourth proportional to 613.03, 845.64 and 465.41 is: 642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.03 : 845.64 = 465.41 : x
  2. Step 2: Convert to fraction form
    613.03/845.64 = 465.41/x
  3. Step 3: Cross multiply
    613.03x = 845.64 × 465.41
  4. Step 4: Simplify right side
    613.03x = 393,569.31
  5. Step 5: Solve for x
    x = 393,569.31/613.03
  6. Step 6: Final answer
    x = 642.01

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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.