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Finding the Fourth Proportional to 677.52, 934.44 and 456.72

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Solution

The fourth proportional to 677.52, 934.44 and 456.72 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.52 : 934.44 = 456.72 : x
  2. Step 2: Convert to fraction form
    677.52/934.44 = 456.72/x
  3. Step 3: Cross multiply
    677.52x = 934.44 × 456.72
  4. Step 4: Simplify right side
    677.52x = 426,777.44
  5. Step 5: Solve for x
    x = 426,777.44/677.52
  6. Step 6: Final answer
    x = 629.91

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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.