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Finding the Fourth Proportional to 683.34, 943 and 372.84

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Solution

The fourth proportional to 683.34, 943 and 372.84 is: 514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.34 : 943 = 372.84 : x
  2. Step 2: Convert to fraction form
    683.34/943 = 372.84/x
  3. Step 3: Cross multiply
    683.34x = 943 × 372.84
  4. Step 4: Simplify right side
    683.34x = 351,588.12
  5. Step 5: Solve for x
    x = 351,588.12/683.34
  6. Step 6: Final answer
    x = 514.51

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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.