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Finding the Fourth Proportional to 699.89, 965.78 and 420.08

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Solution

The fourth proportional to 699.89, 965.78 and 420.08 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.89 : 965.78 = 420.08 : x
  2. Step 2: Convert to fraction form
    699.89/965.78 = 420.08/x
  3. Step 3: Cross multiply
    699.89x = 965.78 × 420.08
  4. Step 4: Simplify right side
    699.89x = 405,697.93
  5. Step 5: Solve for x
    x = 405,697.93/699.89
  6. Step 6: Final answer
    x = 579.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.