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Finding the Fourth Proportional to 676.12, 933.02 and 396.38

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Solution

The fourth proportional to 676.12, 933.02 and 396.38 is: 546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.12 : 933.02 = 396.38 : x
  2. Step 2: Convert to fraction form
    676.12/933.02 = 396.38/x
  3. Step 3: Cross multiply
    676.12x = 933.02 × 396.38
  4. Step 4: Simplify right side
    676.12x = 369,830.47
  5. Step 5: Solve for x
    x = 369,830.47/676.12
  6. Step 6: Final answer
    x = 546.99

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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.