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Finding the Fourth Proportional to 677.44, 1,016.16 and 352.58

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Solution

The fourth proportional to 677.44, 1,016.16 and 352.58 is: 528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.44 : 1,016.16 = 352.58 : x
  2. Step 2: Convert to fraction form
    677.44/1,016.16 = 352.58/x
  3. Step 3: Cross multiply
    677.44x = 1,016.16 × 352.58
  4. Step 4: Simplify right side
    677.44x = 358,277.69
  5. Step 5: Solve for x
    x = 358,277.69/677.44
  6. Step 6: Final answer
    x = 528.87

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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.