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Finding the Fourth Proportional to 714.71, 986.22 and 420.08

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Solution

The fourth proportional to 714.71, 986.22 and 420.08 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.71 : 986.22 = 420.08 : x
  2. Step 2: Convert to fraction form
    714.71/986.22 = 420.08/x
  3. Step 3: Cross multiply
    714.71x = 986.22 × 420.08
  4. Step 4: Simplify right side
    714.71x = 414,286.37
  5. Step 5: Solve for x
    x = 414,286.37/714.71
  6. Step 6: Final answer
    x = 579.66

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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.