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Finding the Fourth Proportional to 410.89, 566.55 and 327.93

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Solution

The fourth proportional to 410.89, 566.55 and 327.93 is: 452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.89 : 566.55 = 327.93 : x
  2. Step 2: Convert to fraction form
    410.89/566.55 = 327.93/x
  3. Step 3: Cross multiply
    410.89x = 566.55 × 327.93
  4. Step 4: Simplify right side
    410.89x = 185,788.74
  5. Step 5: Solve for x
    x = 185,788.74/410.89
  6. Step 6: Final answer
    x = 452.16

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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.