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Finding the Fourth Proportional to 645.82, 891.14 and 397.10

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Solution

The fourth proportional to 645.82, 891.14 and 397.10 is: 547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.82 : 891.14 = 397.10 : x
  2. Step 2: Convert to fraction form
    645.82/891.14 = 397.10/x
  3. Step 3: Cross multiply
    645.82x = 891.14 × 397.10
  4. Step 4: Simplify right side
    645.82x = 353,871.94
  5. Step 5: Solve for x
    x = 353,871.94/645.82
  6. Step 6: Final answer
    x = 547.94

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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.