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Finding the Fourth Proportional to 676.36, 933.38 and 381.61

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Solution

The fourth proportional to 676.36, 933.38 and 381.61 is: 526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.36 : 933.38 = 381.61 : x
  2. Step 2: Convert to fraction form
    676.36/933.38 = 381.61/x
  3. Step 3: Cross multiply
    676.36x = 933.38 × 381.61
  4. Step 4: Simplify right side
    676.36x = 356,187.14
  5. Step 5: Solve for x
    x = 356,187.14/676.36
  6. Step 6: Final answer
    x = 526.62

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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.