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Finding the Fourth Proportional to 452.24, 623.84 and 341.76

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Solution

The fourth proportional to 452.24, 623.84 and 341.76 is: 471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.24 : 623.84 = 341.76 : x
  2. Step 2: Convert to fraction form
    452.24/623.84 = 341.76/x
  3. Step 3: Cross multiply
    452.24x = 623.84 × 341.76
  4. Step 4: Simplify right side
    452.24x = 213,203.56
  5. Step 5: Solve for x
    x = 213,203.56/452.24
  6. Step 6: Final answer
    x = 471.44

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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.