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Finding the Fourth Proportional to 357.45, 493.14 and 233.16

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Solution

The fourth proportional to 357.45, 493.14 and 233.16 is: 321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.45 : 493.14 = 233.16 : x
  2. Step 2: Convert to fraction form
    357.45/493.14 = 233.16/x
  3. Step 3: Cross multiply
    357.45x = 493.14 × 233.16
  4. Step 4: Simplify right side
    357.45x = 114,980.52
  5. Step 5: Solve for x
    x = 114,980.52/357.45
  6. Step 6: Final answer
    x = 321.67

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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.