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Finding the Fourth Proportional to 452.88, 625.32 and 365.94

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Solution

The fourth proportional to 452.88, 625.32 and 365.94 is: 505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.88 : 625.32 = 365.94 : x
  2. Step 2: Convert to fraction form
    452.88/625.32 = 365.94/x
  3. Step 3: Cross multiply
    452.88x = 625.32 × 365.94
  4. Step 4: Simplify right side
    452.88x = 228,829.60
  5. Step 5: Solve for x
    x = 228,829.60/452.88
  6. Step 6: Final answer
    x = 505.28

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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.