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Finding the Fourth Proportional to 619.24, 928.80 and 186.46

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Solution

The fourth proportional to 619.24, 928.80 and 186.46 is: 279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.24 : 928.80 = 186.46 : x
  2. Step 2: Convert to fraction form
    619.24/928.80 = 186.46/x
  3. Step 3: Cross multiply
    619.24x = 928.80 × 186.46
  4. Step 4: Simplify right side
    619.24x = 173,184.05
  5. Step 5: Solve for x
    x = 173,184.05/619.24
  6. Step 6: Final answer
    x = 279.67

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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.