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Finding the Fourth Proportional to 699.12, 964.71 and 419.35

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Solution

The fourth proportional to 699.12, 964.71 and 419.35 is: 578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.12 : 964.71 = 419.35 : x
  2. Step 2: Convert to fraction form
    699.12/964.71 = 419.35/x
  3. Step 3: Cross multiply
    699.12x = 964.71 × 419.35
  4. Step 4: Simplify right side
    699.12x = 404,548.73
  5. Step 5: Solve for x
    x = 404,548.73/699.12
  6. Step 6: Final answer
    x = 578.65

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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.