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Finding the Fourth Proportional to 676.39, 933.41 and 381.66

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Solution

The fourth proportional to 676.39, 933.41 and 381.66 is: 526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.39 : 933.41 = 381.66 : x
  2. Step 2: Convert to fraction form
    676.39/933.41 = 381.66/x
  3. Step 3: Cross multiply
    676.39x = 933.41 × 381.66
  4. Step 4: Simplify right side
    676.39x = 356,241.02
  5. Step 5: Solve for x
    x = 356,241.02/676.39
  6. Step 6: Final answer
    x = 526.68

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1.5x scale

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.