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Finding the Fourth Proportional to 458.31, 632.41 and 281.36

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Solution

The fourth proportional to 458.31, 632.41 and 281.36 is: 388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.31 : 632.41 = 281.36 : x
  2. Step 2: Convert to fraction form
    458.31/632.41 = 281.36/x
  3. Step 3: Cross multiply
    458.31x = 632.41 × 281.36
  4. Step 4: Simplify right side
    458.31x = 177,935.76
  5. Step 5: Solve for x
    x = 177,935.76/458.31
  6. Step 6: Final answer
    x = 388.24

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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.