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Finding the Fourth Proportional to 683.26, 942.53 and 434.14

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Solution

The fourth proportional to 683.26, 942.53 and 434.14 is: 598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.26 : 942.53 = 434.14 : x
  2. Step 2: Convert to fraction form
    683.26/942.53 = 434.14/x
  3. Step 3: Cross multiply
    683.26x = 942.53 × 434.14
  4. Step 4: Simplify right side
    683.26x = 409,185.45
  5. Step 5: Solve for x
    x = 409,185.45/683.26
  6. Step 6: Final answer
    x = 598.87

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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.