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Finding the Fourth Proportional to 452.66, 623.75 and 369.23

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Solution

The fourth proportional to 452.66, 623.75 and 369.23 is: 508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.66 : 623.75 = 369.23 : x
  2. Step 2: Convert to fraction form
    452.66/623.75 = 369.23/x
  3. Step 3: Cross multiply
    452.66x = 623.75 × 369.23
  4. Step 4: Simplify right side
    452.66x = 230,302.25
  5. Step 5: Solve for x
    x = 230,302.25/452.66
  6. Step 6: Final answer
    x = 508.78

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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.