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Finding the Fourth Proportional to 714.51, 986.34 and 419.80

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Solution

The fourth proportional to 714.51, 986.34 and 419.80 is: 579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.51 : 986.34 = 419.80 : x
  2. Step 2: Convert to fraction form
    714.51/986.34 = 419.80/x
  3. Step 3: Cross multiply
    714.51x = 986.34 × 419.80
  4. Step 4: Simplify right side
    714.51x = 414,063.07
  5. Step 5: Solve for x
    x = 414,063.07/714.51
  6. Step 6: Final answer
    x = 579.51

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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.