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Finding the Fourth Proportional to 430.75, 594.43 and 244.24

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Solution

The fourth proportional to 430.75, 594.43 and 244.24 is: 337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.75 : 594.43 = 244.24 : x
  2. Step 2: Convert to fraction form
    430.75/594.43 = 244.24/x
  3. Step 3: Cross multiply
    430.75x = 594.43 × 244.24
  4. Step 4: Simplify right side
    430.75x = 145,183.58
  5. Step 5: Solve for x
    x = 145,183.58/430.75
  6. Step 6: Final answer
    x = 337.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.