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Finding the Fourth Proportional to 738.58, 1,106.38 and 372.86

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Solution

The fourth proportional to 738.58, 1,106.38 and 372.86 is: 558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.58 : 1,106.38 = 372.86 : x
  2. Step 2: Convert to fraction form
    738.58/1,106.38 = 372.86/x
  3. Step 3: Cross multiply
    738.58x = 1,106.38 × 372.86
  4. Step 4: Simplify right side
    738.58x = 412,524.85
  5. Step 5: Solve for x
    x = 412,524.85/738.58
  6. Step 6: Final answer
    x = 558.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.