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Finding the Fourth Proportional to 364.01, 544.77 and 283.22

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Solution

The fourth proportional to 364.01, 544.77 and 283.22 is: 423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.01 : 544.77 = 283.22 : x
  2. Step 2: Convert to fraction form
    364.01/544.77 = 283.22/x
  3. Step 3: Cross multiply
    364.01x = 544.77 × 283.22
  4. Step 4: Simplify right side
    364.01x = 154,289.76
  5. Step 5: Solve for x
    x = 154,289.76/364.01
  6. Step 6: Final answer
    x = 423.86

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