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Finding the Fourth Proportional to 505.19, 696.51 and 339.27

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Solution

The fourth proportional to 505.19, 696.51 and 339.27 is: 467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.19 : 696.51 = 339.27 : x
  2. Step 2: Convert to fraction form
    505.19/696.51 = 339.27/x
  3. Step 3: Cross multiply
    505.19x = 696.51 × 339.27
  4. Step 4: Simplify right side
    505.19x = 236,304.95
  5. Step 5: Solve for x
    x = 236,304.95/505.19
  6. Step 6: Final answer
    x = 467.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.