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Finding the Fourth Proportional to 383.24, 573.35 and 295.89

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Solution

The fourth proportional to 383.24, 573.35 and 295.89 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.24 : 573.35 = 295.89 : x
  2. Step 2: Convert to fraction form
    383.24/573.35 = 295.89/x
  3. Step 3: Cross multiply
    383.24x = 573.35 × 295.89
  4. Step 4: Simplify right side
    383.24x = 169,647.05
  5. Step 5: Solve for x
    x = 169,647.05/383.24
  6. Step 6: Final answer
    x = 442.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.