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Finding the Fourth Proportional to 458.36, 683.84 and 455.12

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Solution

The fourth proportional to 458.36, 683.84 and 455.12 is: 679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.36 : 683.84 = 455.12 : x
  2. Step 2: Convert to fraction form
    458.36/683.84 = 455.12/x
  3. Step 3: Cross multiply
    458.36x = 683.84 × 455.12
  4. Step 4: Simplify right side
    458.36x = 311,229.26
  5. Step 5: Solve for x
    x = 311,229.26/458.36
  6. Step 6: Final answer
    x = 679.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.