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Finding the Fourth Proportional to 645.66, 891.07 and 397.04

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Solution

The fourth proportional to 645.66, 891.07 and 397.04 is: 547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.66 : 891.07 = 397.04 : x
  2. Step 2: Convert to fraction form
    645.66/891.07 = 397.04/x
  3. Step 3: Cross multiply
    645.66x = 891.07 × 397.04
  4. Step 4: Simplify right side
    645.66x = 353,784.98
  5. Step 5: Solve for x
    x = 353,784.98/645.66
  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.