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Finding the Fourth Proportional to 505.14, 696.90 and 308.58

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Solution

The fourth proportional to 505.14, 696.90 and 308.58 is: 425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.14 : 696.90 = 308.58 : x
  2. Step 2: Convert to fraction form
    505.14/696.90 = 308.58/x
  3. Step 3: Cross multiply
    505.14x = 696.90 × 308.58
  4. Step 4: Simplify right side
    505.14x = 215,049.40
  5. Step 5: Solve for x
    x = 215,049.40/505.14
  6. Step 6: Final answer
    x = 425.72

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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.