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Finding the Fourth Proportional to 434.56, 648.20 and 397.28

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Solution

The fourth proportional to 434.56, 648.20 and 397.28 is: 592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.56 : 648.20 = 397.28 : x
  2. Step 2: Convert to fraction form
    434.56/648.20 = 397.28/x
  3. Step 3: Cross multiply
    434.56x = 648.20 × 397.28
  4. Step 4: Simplify right side
    434.56x = 257,516.90
  5. Step 5: Solve for x
    x = 257,516.90/434.56
  6. Step 6: Final answer
    x = 592.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.