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Finding the Fourth Proportional to 452.24, 623.76 and 341.72

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Solution

The fourth proportional to 452.24, 623.76 and 341.72 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.24 : 623.76 = 341.72 : x
  2. Step 2: Convert to fraction form
    452.24/623.76 = 341.72/x
  3. Step 3: Cross multiply
    452.24x = 623.76 × 341.72
  4. Step 4: Simplify right side
    452.24x = 213,151.27
  5. Step 5: Solve for x
    x = 213,151.27/452.24
  6. Step 6: Final answer
    x = 471.32

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Why These Related Problems?

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