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Finding the Fourth Proportional to 395.73, 546.14 and 346.53

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Solution

The fourth proportional to 395.73, 546.14 and 346.53 is: 478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.73 : 546.14 = 346.53 : x
  2. Step 2: Convert to fraction form
    395.73/546.14 = 346.53/x
  3. Step 3: Cross multiply
    395.73x = 546.14 × 346.53
  4. Step 4: Simplify right side
    395.73x = 189,252.16
  5. Step 5: Solve for x
    x = 189,252.16/395.73
  6. Step 6: Final answer
    x = 478.24

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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.