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Finding the Fourth Proportional to 495.48, 743.22 and 302.84

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Solution

The fourth proportional to 495.48, 743.22 and 302.84 is: 454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.48 : 743.22 = 302.84 : x
  2. Step 2: Convert to fraction form
    495.48/743.22 = 302.84/x
  3. Step 3: Cross multiply
    495.48x = 743.22 × 302.84
  4. Step 4: Simplify right side
    495.48x = 225,076.74
  5. Step 5: Solve for x
    x = 225,076.74/495.48
  6. Step 6: Final answer
    x = 454.26

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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.