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Finding the Fourth Proportional to 699.23, 964.91 and 419.58

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Solution

The fourth proportional to 699.23, 964.91 and 419.58 is: 579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.23 : 964.91 = 419.58 : x
  2. Step 2: Convert to fraction form
    699.23/964.91 = 419.58/x
  3. Step 3: Cross multiply
    699.23x = 964.91 × 419.58
  4. Step 4: Simplify right side
    699.23x = 404,857.99
  5. Step 5: Solve for x
    x = 404,857.99/699.23
  6. Step 6: Final answer
    x = 579.00

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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.