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Finding the Fourth Proportional to 452.84, 624.62 and 418.48

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Solution

The fourth proportional to 452.84, 624.62 and 418.48 is: 577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.84 : 624.62 = 418.48 : x
  2. Step 2: Convert to fraction form
    452.84/624.62 = 418.48/x
  3. Step 3: Cross multiply
    452.84x = 624.62 × 418.48
  4. Step 4: Simplify right side
    452.84x = 261,390.98
  5. Step 5: Solve for x
    x = 261,390.98/452.84
  6. Step 6: Final answer
    x = 577.23

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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.