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Finding the Fourth Proportional to 452.88, 680.64 and 376.32

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Solution

The fourth proportional to 452.88, 680.64 and 376.32 is: 565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.88 : 680.64 = 376.32 : x
  2. Step 2: Convert to fraction form
    452.88/680.64 = 376.32/x
  3. Step 3: Cross multiply
    452.88x = 680.64 × 376.32
  4. Step 4: Simplify right side
    452.88x = 256,138.44
  5. Step 5: Solve for x
    x = 256,138.44/452.88
  6. Step 6: Final answer
    x = 565.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.