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Finding the Fourth Proportional to 459.73, 633.22 and 457.30

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Solution

The fourth proportional to 459.73, 633.22 and 457.30 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.73 : 633.22 = 457.30 : x
  2. Step 2: Convert to fraction form
    459.73/633.22 = 457.30/x
  3. Step 3: Cross multiply
    459.73x = 633.22 × 457.30
  4. Step 4: Simplify right side
    459.73x = 289,571.51
  5. Step 5: Solve for x
    x = 289,571.51/459.73
  6. Step 6: Final answer
    x = 629.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.