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Finding the Fourth Proportional to 326.16, 490.14 and 285.48

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Solution

The fourth proportional to 326.16, 490.14 and 285.48 is: 429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.16 : 490.14 = 285.48 : x
  2. Step 2: Convert to fraction form
    326.16/490.14 = 285.48/x
  3. Step 3: Cross multiply
    326.16x = 490.14 × 285.48
  4. Step 4: Simplify right side
    326.16x = 139,925.17
  5. Step 5: Solve for x
    x = 139,925.17/326.16
  6. Step 6: Final answer
    x = 429.01

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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.