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Finding the Fourth Proportional to 683.05, 942.72 and 434.29

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Solution

The fourth proportional to 683.05, 942.72 and 434.29 is: 599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.05 : 942.72 = 434.29 : x
  2. Step 2: Convert to fraction form
    683.05/942.72 = 434.29/x
  3. Step 3: Cross multiply
    683.05x = 942.72 × 434.29
  4. Step 4: Simplify right side
    683.05x = 409,413.87
  5. Step 5: Solve for x
    x = 409,413.87/683.05
  6. Step 6: Final answer
    x = 599.39

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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.