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Finding the Fourth Proportional to 683.23, 942.57 and 434.68

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Solution

The fourth proportional to 683.23, 942.57 and 434.68 is: 599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.23 : 942.57 = 434.68 : x
  2. Step 2: Convert to fraction form
    683.23/942.57 = 434.68/x
  3. Step 3: Cross multiply
    683.23x = 942.57 × 434.68
  4. Step 4: Simplify right side
    683.23x = 409,713.24
  5. Step 5: Solve for x
    x = 409,713.24/683.23
  6. Step 6: Final answer
    x = 599.67

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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.