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Finding the Fourth Proportional to 672.08, 926.52 and 506.48

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Solution

The fourth proportional to 672.08, 926.52 and 506.48 is: 698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.08 : 926.52 = 506.48 : x
  2. Step 2: Convert to fraction form
    672.08/926.52 = 506.48/x
  3. Step 3: Cross multiply
    672.08x = 926.52 × 506.48
  4. Step 4: Simplify right side
    672.08x = 469,263.85
  5. Step 5: Solve for x
    x = 469,263.85/672.08
  6. Step 6: Final answer
    x = 698.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.