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Finding the Fourth Proportional to 699.06, 964.77 and 419.40

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Solution

The fourth proportional to 699.06, 964.77 and 419.40 is: 578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.06 : 964.77 = 419.40 : x
  2. Step 2: Convert to fraction form
    699.06/964.77 = 419.40/x
  3. Step 3: Cross multiply
    699.06x = 964.77 × 419.40
  4. Step 4: Simplify right side
    699.06x = 404,624.54
  5. Step 5: Solve for x
    x = 404,624.54/699.06
  6. Step 6: Final answer
    x = 578.81

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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.