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Finding the Fourth Proportional to 395.70, 546.33 and 354.12

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Solution

The fourth proportional to 395.70, 546.33 and 354.12 is: 488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.70 : 546.33 = 354.12 : x
  2. Step 2: Convert to fraction form
    395.70/546.33 = 354.12/x
  3. Step 3: Cross multiply
    395.70x = 546.33 × 354.12
  4. Step 4: Simplify right side
    395.70x = 193,466.38
  5. Step 5: Solve for x
    x = 193,466.38/395.70
  6. Step 6: Final answer
    x = 488.92

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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.