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Finding the Fourth Proportional to 360.22, 539.40 and 302.30

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Solution

The fourth proportional to 360.22, 539.40 and 302.30 is: 452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.22 : 539.40 = 302.30 : x
  2. Step 2: Convert to fraction form
    360.22/539.40 = 302.30/x
  3. Step 3: Cross multiply
    360.22x = 539.40 × 302.30
  4. Step 4: Simplify right side
    360.22x = 163,060.62
  5. Step 5: Solve for x
    x = 163,060.62/360.22
  6. Step 6: Final answer
    x = 452.67

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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.