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Finding the Fourth Proportional to 605.32, 835.74 and 465.19

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Solution

The fourth proportional to 605.32, 835.74 and 465.19 is: 642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.32 : 835.74 = 465.19 : x
  2. Step 2: Convert to fraction form
    605.32/835.74 = 465.19/x
  3. Step 3: Cross multiply
    605.32x = 835.74 × 465.19
  4. Step 4: Simplify right side
    605.32x = 388,778.28
  5. Step 5: Solve for x
    x = 388,778.28/605.32
  6. Step 6: Final answer
    x = 642.27

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Double scale
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1.5x scale

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.