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Finding the Fourth Proportional to 683, 942.16 and 434.14

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Solution

The fourth proportional to 683, 942.16 and 434.14 is: 598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683 : 942.16 = 434.14 : x
  2. Step 2: Convert to fraction form
    683/942.16 = 434.14/x
  3. Step 3: Cross multiply
    683x = 942.16 × 434.14
  4. Step 4: Simplify right side
    683x = 409,029.34
  5. Step 5: Solve for x
    x = 409,029.34/683
  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.