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Finding the Fourth Proportional to 714.08, 985.41 and 399.33

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Solution

The fourth proportional to 714.08, 985.41 and 399.33 is: 551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.08 : 985.41 = 399.33 : x
  2. Step 2: Convert to fraction form
    714.08/985.41 = 399.33/x
  3. Step 3: Cross multiply
    714.08x = 985.41 × 399.33
  4. Step 4: Simplify right side
    714.08x = 393,503.78
  5. Step 5: Solve for x
    x = 393,503.78/714.08
  6. Step 6: Final answer
    x = 551.06

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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.