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Finding the Fourth Proportional to 430.49, 594 and 243.97

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Solution

The fourth proportional to 430.49, 594 and 243.97 is: 336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.49 : 594 = 243.97 : x
  2. Step 2: Convert to fraction form
    430.49/594 = 243.97/x
  3. Step 3: Cross multiply
    430.49x = 594 × 243.97
  4. Step 4: Simplify right side
    430.49x = 144,916.70
  5. Step 5: Solve for x
    x = 144,916.70/430.49
  6. Step 6: Final answer
    x = 336.63

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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.