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Finding the Fourth Proportional to 699.76, 965.73 and 420.04

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Solution

The fourth proportional to 699.76, 965.73 and 420.04 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.76 : 965.73 = 420.04 : x
  2. Step 2: Convert to fraction form
    699.76/965.73 = 420.04/x
  3. Step 3: Cross multiply
    699.76x = 965.73 × 420.04
  4. Step 4: Simplify right side
    699.76x = 405,645.23
  5. Step 5: Solve for x
    x = 405,645.23/699.76
  6. Step 6: Final answer
    x = 579.69

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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.