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Finding the Fourth Proportional to 645.90, 891.36 and 351.19

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Solution

The fourth proportional to 645.90, 891.36 and 351.19 is: 484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.90 : 891.36 = 351.19 : x
  2. Step 2: Convert to fraction form
    645.90/891.36 = 351.19/x
  3. Step 3: Cross multiply
    645.90x = 891.36 × 351.19
  4. Step 4: Simplify right side
    645.90x = 313,030.51
  5. Step 5: Solve for x
    x = 313,030.51/645.90
  6. Step 6: Final answer
    x = 484.65

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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.