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Finding the Fourth Proportional to 645.24, 967.78 and 370.44

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Solution

The fourth proportional to 645.24, 967.78 and 370.44 is: 555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 967.78 = 370.44 : x
  2. Step 2: Convert to fraction form
    645.24/967.78 = 370.44/x
  3. Step 3: Cross multiply
    645.24x = 967.78 × 370.44
  4. Step 4: Simplify right side
    645.24x = 358,504.42
  5. Step 5: Solve for x
    x = 358,504.42/645.24
  6. Step 6: Final answer
    x = 555.61

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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.