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Finding the Fourth Proportional to 459.11, 683.57 and 452.63

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Solution

The fourth proportional to 459.11, 683.57 and 452.63 is: 673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.11 : 683.57 = 452.63 : x
  2. Step 2: Convert to fraction form
    459.11/683.57 = 452.63/x
  3. Step 3: Cross multiply
    459.11x = 683.57 × 452.63
  4. Step 4: Simplify right side
    459.11x = 309,407.13
  5. Step 5: Solve for x
    x = 309,407.13/459.11
  6. Step 6: Final answer
    x = 673.92

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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.