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Finding the Fourth Proportional to 699.94, 965.56 and 420.11

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Solution

The fourth proportional to 699.94, 965.56 and 420.11 is: 579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.94 : 965.56 = 420.11 : x
  2. Step 2: Convert to fraction form
    699.94/965.56 = 420.11/x
  3. Step 3: Cross multiply
    699.94x = 965.56 × 420.11
  4. Step 4: Simplify right side
    699.94x = 405,639.94
  5. Step 5: Solve for x
    x = 405,639.94/699.94
  6. Step 6: Final answer
    x = 579.54

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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.