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Finding the Fourth Proportional to 364.01, 546.36 and 283.73

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Solution

The fourth proportional to 364.01, 546.36 and 283.73 is: 425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.01 : 546.36 = 283.73 : x
  2. Step 2: Convert to fraction form
    364.01/546.36 = 283.73/x
  3. Step 3: Cross multiply
    364.01x = 546.36 × 283.73
  4. Step 4: Simplify right side
    364.01x = 155,015.99
  5. Step 5: Solve for x
    x = 155,015.99/364.01
  6. Step 6: Final answer
    x = 425.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.