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Finding the Fourth Proportional to 395.62, 546.21 and 354.10

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Solution

The fourth proportional to 395.62, 546.21 and 354.10 is: 488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.62 : 546.21 = 354.10 : x
  2. Step 2: Convert to fraction form
    395.62/546.21 = 354.10/x
  3. Step 3: Cross multiply
    395.62x = 546.21 × 354.10
  4. Step 4: Simplify right side
    395.62x = 193,412.96
  5. Step 5: Solve for x
    x = 193,412.96/395.62
  6. Step 6: Final answer
    x = 488.89

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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.