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Finding the Fourth Proportional to 677.44, 935.64 and 456

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Solution

The fourth proportional to 677.44, 935.64 and 456 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.44 : 935.64 = 456 : x
  2. Step 2: Convert to fraction form
    677.44/935.64 = 456/x
  3. Step 3: Cross multiply
    677.44x = 935.64 × 456
  4. Step 4: Simplify right side
    677.44x = 426,651.84
  5. Step 5: Solve for x
    x = 426,651.84/677.44
  6. Step 6: Final answer
    x = 629.80

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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.