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Finding the Fourth Proportional to 468.33, 646.37 and 453.99

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Solution

The fourth proportional to 468.33, 646.37 and 453.99 is: 626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.33 : 646.37 = 453.99 : x
  2. Step 2: Convert to fraction form
    468.33/646.37 = 453.99/x
  3. Step 3: Cross multiply
    468.33x = 646.37 × 453.99
  4. Step 4: Simplify right side
    468.33x = 293,443.25
  5. Step 5: Solve for x
    x = 293,443.25/468.33
  6. Step 6: Final answer
    x = 626.57

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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.