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Finding the Fourth Proportional to 672.44, 928.28 and 506.70

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Solution

The fourth proportional to 672.44, 928.28 and 506.70 is: 699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.44 : 928.28 = 506.70 : x
  2. Step 2: Convert to fraction form
    672.44/928.28 = 506.70/x
  3. Step 3: Cross multiply
    672.44x = 928.28 × 506.70
  4. Step 4: Simplify right side
    672.44x = 470,356.94
  5. Step 5: Solve for x
    x = 470,356.94/672.44
  6. Step 6: Final answer
    x = 699.48

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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.