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Finding the Fourth Proportional to 677.66, 1,016.49 and 352.36

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Solution

The fourth proportional to 677.66, 1,016.49 and 352.36 is: 528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 1,016.49 = 352.36 : x
  2. Step 2: Convert to fraction form
    677.66/1,016.49 = 352.36/x
  3. Step 3: Cross multiply
    677.66x = 1,016.49 × 352.36
  4. Step 4: Simplify right side
    677.66x = 358,165.33
  5. Step 5: Solve for x
    x = 358,165.33/677.66
  6. Step 6: Final answer
    x = 528.53

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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.