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Finding the Fourth Proportional to 458.51, 686.83 and 366.11

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Solution

The fourth proportional to 458.51, 686.83 and 366.11 is: 548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.51 : 686.83 = 366.11 : x
  2. Step 2: Convert to fraction form
    458.51/686.83 = 366.11/x
  3. Step 3: Cross multiply
    458.51x = 686.83 × 366.11
  4. Step 4: Simplify right side
    458.51x = 251,455.22
  5. Step 5: Solve for x
    x = 251,455.22/458.51
  6. Step 6: Final answer
    x = 548.42

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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.