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Finding the Fourth Proportional to 714.94, 986.49 and 400.21

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Solution

The fourth proportional to 714.94, 986.49 and 400.21 is: 552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.94 : 986.49 = 400.21 : x
  2. Step 2: Convert to fraction form
    714.94/986.49 = 400.21/x
  3. Step 3: Cross multiply
    714.94x = 986.49 × 400.21
  4. Step 4: Simplify right side
    714.94x = 394,803.16
  5. Step 5: Solve for x
    x = 394,803.16/714.94
  6. Step 6: Final answer
    x = 552.22

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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.