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Finding the Fourth Proportional to 434.19, 650.88 and 190.65

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Solution

The fourth proportional to 434.19, 650.88 and 190.65 is: 285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.19 : 650.88 = 190.65 : x
  2. Step 2: Convert to fraction form
    434.19/650.88 = 190.65/x
  3. Step 3: Cross multiply
    434.19x = 650.88 × 190.65
  4. Step 4: Simplify right side
    434.19x = 124,090.27
  5. Step 5: Solve for x
    x = 124,090.27/434.19
  6. Step 6: Final answer
    x = 285.80

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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.