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Finding the Fourth Proportional to 452.74, 625.14 and 295.48

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Solution

The fourth proportional to 452.74, 625.14 and 295.48 is: 408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.74 : 625.14 = 295.48 : x
  2. Step 2: Convert to fraction form
    452.74/625.14 = 295.48/x
  3. Step 3: Cross multiply
    452.74x = 625.14 × 295.48
  4. Step 4: Simplify right side
    452.74x = 184,716.37
  5. Step 5: Solve for x
    x = 184,716.37/452.74
  6. Step 6: Final answer
    x = 408.00

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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.