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Finding the Fourth Proportional to 714.56, 985.92 and 420

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Solution

The fourth proportional to 714.56, 985.92 and 420 is: 579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 985.92 = 420 : x
  2. Step 2: Convert to fraction form
    714.56/985.92 = 420/x
  3. Step 3: Cross multiply
    714.56x = 985.92 × 420
  4. Step 4: Simplify right side
    714.56x = 414,086.40
  5. Step 5: Solve for x
    x = 414,086.40/714.56
  6. Step 6: Final answer
    x = 579.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.