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Finding the Fourth Proportional to 677, 1,016.01 and 352.34

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Solution

The fourth proportional to 677, 1,016.01 and 352.34 is: 528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    677 : 1,016.01 = 352.34 : x
  2. Step 2: Convert to fraction form
    677/1,016.01 = 352.34/x
  3. Step 3: Cross multiply
    677x = 1,016.01 × 352.34
  4. Step 4: Simplify right side
    677x = 357,980.96
  5. Step 5: Solve for x
    x = 357,980.96/677
  6. Step 6: Final answer
    x = 528.78

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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.