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Finding the Fourth Proportional to 714.39, 985.97 and 419.82

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Solution

The fourth proportional to 714.39, 985.97 and 419.82 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.39 : 985.97 = 419.82 : x
  2. Step 2: Convert to fraction form
    714.39/985.97 = 419.82/x
  3. Step 3: Cross multiply
    714.39x = 985.97 × 419.82
  4. Step 4: Simplify right side
    714.39x = 413,927.28
  5. Step 5: Solve for x
    x = 413,927.28/714.39
  6. Step 6: Final answer
    x = 579.42

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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.