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Finding the Fourth Proportional to 465.23, 642.66 and 371.63

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Solution

The fourth proportional to 465.23, 642.66 and 371.63 is: 513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.23 : 642.66 = 371.63 : x
  2. Step 2: Convert to fraction form
    465.23/642.66 = 371.63/x
  3. Step 3: Cross multiply
    465.23x = 642.66 × 371.63
  4. Step 4: Simplify right side
    465.23x = 238,831.74
  5. Step 5: Solve for x
    x = 238,831.74/465.23
  6. Step 6: Final answer
    x = 513.36

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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.