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Finding the Fourth Proportional to 364.28, 501.73 and 294.21

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Solution

The fourth proportional to 364.28, 501.73 and 294.21 is: 405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.28 : 501.73 = 294.21 : x
  2. Step 2: Convert to fraction form
    364.28/501.73 = 294.21/x
  3. Step 3: Cross multiply
    364.28x = 501.73 × 294.21
  4. Step 4: Simplify right side
    364.28x = 147,613.25
  5. Step 5: Solve for x
    x = 147,613.25/364.28
  6. Step 6: Final answer
    x = 405.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.