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Finding the Fourth Proportional to 714.29, 985.73 and 399.56

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Solution

The fourth proportional to 714.29, 985.73 and 399.56 is: 551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.29 : 985.73 = 399.56 : x
  2. Step 2: Convert to fraction form
    714.29/985.73 = 399.56/x
  3. Step 3: Cross multiply
    714.29x = 985.73 × 399.56
  4. Step 4: Simplify right side
    714.29x = 393,851.35
  5. Step 5: Solve for x
    x = 393,851.35/714.29
  6. Step 6: Final answer
    x = 551.39

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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.