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Finding the Fourth Proportional to 452.02, 623.71 and 275.08

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Solution

The fourth proportional to 452.02, 623.71 and 275.08 is: 379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.02 : 623.71 = 275.08 : x
  2. Step 2: Convert to fraction form
    452.02/623.71 = 275.08/x
  3. Step 3: Cross multiply
    452.02x = 623.71 × 275.08
  4. Step 4: Simplify right side
    452.02x = 171,570.15
  5. Step 5: Solve for x
    x = 171,570.15/452.02
  6. Step 6: Final answer
    x = 379.56

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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.