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Finding the Fourth Proportional to 327.02, 451.53 and 302.45

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Solution

The fourth proportional to 327.02, 451.53 and 302.45 is: 417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.02 : 451.53 = 302.45 : x
  2. Step 2: Convert to fraction form
    327.02/451.53 = 302.45/x
  3. Step 3: Cross multiply
    327.02x = 451.53 × 302.45
  4. Step 4: Simplify right side
    327.02x = 136,565.25
  5. Step 5: Solve for x
    x = 136,565.25/327.02
  6. Step 6: Final answer
    x = 417.61

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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.