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Finding the Fourth Proportional to 676.20, 933.15 and 381.46

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Solution

The fourth proportional to 676.20, 933.15 and 381.46 is: 526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.20 : 933.15 = 381.46 : x
  2. Step 2: Convert to fraction form
    676.20/933.15 = 381.46/x
  3. Step 3: Cross multiply
    676.20x = 933.15 × 381.46
  4. Step 4: Simplify right side
    676.20x = 355,956.01
  5. Step 5: Solve for x
    x = 355,956.01/676.20
  6. Step 6: Final answer
    x = 526.41

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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.