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Finding the Fourth Proportional to 706.97, 975.62 and 392.24

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Solution

The fourth proportional to 706.97, 975.62 and 392.24 is: 541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.97 : 975.62 = 392.24 : x
  2. Step 2: Convert to fraction form
    706.97/975.62 = 392.24/x
  3. Step 3: Cross multiply
    706.97x = 975.62 × 392.24
  4. Step 4: Simplify right side
    706.97x = 382,670.35
  5. Step 5: Solve for x
    x = 382,670.35/706.97
  6. Step 6: Final answer
    x = 541.29

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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.