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Finding the Fourth Proportional to 395.60, 546 and 262.76

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Solution

The fourth proportional to 395.60, 546 and 262.76 is: 362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 546 = 262.76 : x
  2. Step 2: Convert to fraction form
    395.60/546 = 262.76/x
  3. Step 3: Cross multiply
    395.60x = 546 × 262.76
  4. Step 4: Simplify right side
    395.60x = 143,466.96
  5. Step 5: Solve for x
    x = 143,466.96/395.60
  6. Step 6: Final answer
    x = 362.66

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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.