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Finding the Fourth Proportional to 328.77, 452.85 and 276.26

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Solution

The fourth proportional to 328.77, 452.85 and 276.26 is: 380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.77 : 452.85 = 276.26 : x
  2. Step 2: Convert to fraction form
    328.77/452.85 = 276.26/x
  3. Step 3: Cross multiply
    328.77x = 452.85 × 276.26
  4. Step 4: Simplify right side
    328.77x = 125,102.08
  5. Step 5: Solve for x
    x = 125,102.08/328.77
  6. Step 6: Final answer
    x = 380.52

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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.