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Finding the Fourth Proportional to 334.79, 461.42 and 282.47

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Solution

The fourth proportional to 334.79, 461.42 and 282.47 is: 389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.79 : 461.42 = 282.47 : x
  2. Step 2: Convert to fraction form
    334.79/461.42 = 282.47/x
  3. Step 3: Cross multiply
    334.79x = 461.42 × 282.47
  4. Step 4: Simplify right side
    334.79x = 130,339.17
  5. Step 5: Solve for x
    x = 130,339.17/334.79
  6. Step 6: Final answer
    x = 389.31

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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.