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Finding the Fourth Proportional to 676.30, 933.24 and 381.60

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Solution

The fourth proportional to 676.30, 933.24 and 381.60 is: 526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.30 : 933.24 = 381.60 : x
  2. Step 2: Convert to fraction form
    676.30/933.24 = 381.60/x
  3. Step 3: Cross multiply
    676.30x = 933.24 × 381.60
  4. Step 4: Simplify right side
    676.30x = 356,124.38
  5. Step 5: Solve for x
    x = 356,124.38/676.30
  6. Step 6: Final answer
    x = 526.58

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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.