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Finding the Fourth Proportional to 699.52, 965.29 and 419.77

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Solution

The fourth proportional to 699.52, 965.29 and 419.77 is: 579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.52 : 965.29 = 419.77 : x
  2. Step 2: Convert to fraction form
    699.52/965.29 = 419.77/x
  3. Step 3: Cross multiply
    699.52x = 965.29 × 419.77
  4. Step 4: Simplify right side
    699.52x = 405,199.78
  5. Step 5: Solve for x
    x = 405,199.78/699.52
  6. Step 6: Final answer
    x = 579.25

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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.