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Finding the Fourth Proportional to 452.86, 623.78 and 354.44

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Solution

The fourth proportional to 452.86, 623.78 and 354.44 is: 488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.86 : 623.78 = 354.44 : x
  2. Step 2: Convert to fraction form
    452.86/623.78 = 354.44/x
  3. Step 3: Cross multiply
    452.86x = 623.78 × 354.44
  4. Step 4: Simplify right side
    452.86x = 221,092.58
  5. Step 5: Solve for x
    x = 221,092.58/452.86
  6. Step 6: Final answer
    x = 488.21

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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.