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Finding the Fourth Proportional to 468.37, 645.77 and 357.67

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Solution

The fourth proportional to 468.37, 645.77 and 357.67 is: 493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.37 : 645.77 = 357.67 : x
  2. Step 2: Convert to fraction form
    468.37/645.77 = 357.67/x
  3. Step 3: Cross multiply
    468.37x = 645.77 × 357.67
  4. Step 4: Simplify right side
    468.37x = 230,972.56
  5. Step 5: Solve for x
    x = 230,972.56/468.37
  6. Step 6: Final answer
    x = 493.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.