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Finding the Fourth Proportional to 354.14, 530.64 and 216.77

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Solution

The fourth proportional to 354.14, 530.64 and 216.77 is: 324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.14 : 530.64 = 216.77 : x
  2. Step 2: Convert to fraction form
    354.14/530.64 = 216.77/x
  3. Step 3: Cross multiply
    354.14x = 530.64 × 216.77
  4. Step 4: Simplify right side
    354.14x = 115,028.16
  5. Step 5: Solve for x
    x = 115,028.16/354.14
  6. Step 6: Final answer
    x = 324.81

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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.