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Finding the Fourth Proportional to 553.86, 762.41 and 491.58

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Solution

The fourth proportional to 553.86, 762.41 and 491.58 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 762.41 = 491.58 : x
  2. Step 2: Convert to fraction form
    553.86/762.41 = 491.58/x
  3. Step 3: Cross multiply
    553.86x = 762.41 × 491.58
  4. Step 4: Simplify right side
    553.86x = 374,783.05
  5. Step 5: Solve for x
    x = 374,783.05/553.86
  6. Step 6: Final answer
    x = 676.67

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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.