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Finding the Fourth Proportional to 339.56, 511.92 and 316.07

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Solution

The fourth proportional to 339.56, 511.92 and 316.07 is: 476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.56 : 511.92 = 316.07 : x
  2. Step 2: Convert to fraction form
    339.56/511.92 = 316.07/x
  3. Step 3: Cross multiply
    339.56x = 511.92 × 316.07
  4. Step 4: Simplify right side
    339.56x = 161,802.55
  5. Step 5: Solve for x
    x = 161,802.55/339.56
  6. Step 6: Final answer
    x = 476.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.