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Finding the Fourth Proportional to 372.95, 514.70 and 233.08

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Solution

The fourth proportional to 372.95, 514.70 and 233.08 is: 321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.95 : 514.70 = 233.08 : x
  2. Step 2: Convert to fraction form
    372.95/514.70 = 233.08/x
  3. Step 3: Cross multiply
    372.95x = 514.70 × 233.08
  4. Step 4: Simplify right side
    372.95x = 119,965.57
  5. Step 5: Solve for x
    x = 119,965.57/372.95
  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.