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Finding the Fourth Proportional to 714.31, 985.66 and 399.56

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Solution

The fourth proportional to 714.31, 985.66 and 399.56 is: 551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.31 : 985.66 = 399.56 : x
  2. Step 2: Convert to fraction form
    714.31/985.66 = 399.56/x
  3. Step 3: Cross multiply
    714.31x = 985.66 × 399.56
  4. Step 4: Simplify right side
    714.31x = 393,824.38
  5. Step 5: Solve for x
    x = 393,824.38/714.31
  6. Step 6: Final answer
    x = 551.34

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1.5x scale

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.