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Finding the Fourth Proportional to 714.06, 985.31 and 399.29

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Solution

The fourth proportional to 714.06, 985.31 and 399.29 is: 550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.06 : 985.31 = 399.29 : x
  2. Step 2: Convert to fraction form
    714.06/985.31 = 399.29/x
  3. Step 3: Cross multiply
    714.06x = 985.31 × 399.29
  4. Step 4: Simplify right side
    714.06x = 393,417.51
  5. Step 5: Solve for x
    x = 393,417.51/714.06
  6. Step 6: Final answer
    x = 550.96

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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.