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Finding the Fourth Proportional to 372.26, 511.97 and 298.46

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Solution

The fourth proportional to 372.26, 511.97 and 298.46 is: 410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.26 : 511.97 = 298.46 : x
  2. Step 2: Convert to fraction form
    372.26/511.97 = 298.46/x
  3. Step 3: Cross multiply
    372.26x = 511.97 × 298.46
  4. Step 4: Simplify right side
    372.26x = 152,798.51
  5. Step 5: Solve for x
    x = 152,798.51/372.26
  6. Step 6: Final answer
    x = 410.47

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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.