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Finding the Fourth Proportional to 677.74, 1,016.42 and 352.94

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Solution

The fourth proportional to 677.74, 1,016.42 and 352.94 is: 529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.74 : 1,016.42 = 352.94 : x
  2. Step 2: Convert to fraction form
    677.74/1,016.42 = 352.94/x
  3. Step 3: Cross multiply
    677.74x = 1,016.42 × 352.94
  4. Step 4: Simplify right side
    677.74x = 358,735.27
  5. Step 5: Solve for x
    x = 358,735.27/677.74
  6. Step 6: Final answer
    x = 529.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.