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Finding the Fourth Proportional to 359.96, 541.87 and 326.43

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Solution

The fourth proportional to 359.96, 541.87 and 326.43 is: 491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.96 : 541.87 = 326.43 : x
  2. Step 2: Convert to fraction form
    359.96/541.87 = 326.43/x
  3. Step 3: Cross multiply
    359.96x = 541.87 × 326.43
  4. Step 4: Simplify right side
    359.96x = 176,881.81
  5. Step 5: Solve for x
    x = 176,881.81/359.96
  6. Step 6: Final answer
    x = 491.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.