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Finding the Fourth Proportional to 706.71, 975.31 and 392.00

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Solution

The fourth proportional to 706.71, 975.31 and 392.00 is: 540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.71 : 975.31 = 392.00 : x
  2. Step 2: Convert to fraction form
    706.71/975.31 = 392.00/x
  3. Step 3: Cross multiply
    706.71x = 975.31 × 392.00
  4. Step 4: Simplify right side
    706.71x = 382,322.98
  5. Step 5: Solve for x
    x = 382,322.98/706.71
  6. Step 6: Final answer
    x = 540.99

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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.