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Finding the Fourth Proportional to 397.06, 546.81 and 357.38

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Solution

The fourth proportional to 397.06, 546.81 and 357.38 is: 492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.06 : 546.81 = 357.38 : x
  2. Step 2: Convert to fraction form
    397.06/546.81 = 357.38/x
  3. Step 3: Cross multiply
    397.06x = 546.81 × 357.38
  4. Step 4: Simplify right side
    397.06x = 195,418.96
  5. Step 5: Solve for x
    x = 195,418.96/397.06
  6. Step 6: Final answer
    x = 492.16

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Why These Related Problems?

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