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Finding the Fourth Proportional to 707.22, 975.99 and 396.78

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Solution

The fourth proportional to 707.22, 975.99 and 396.78 is: 547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.22 : 975.99 = 396.78 : x
  2. Step 2: Convert to fraction form
    707.22/975.99 = 396.78/x
  3. Step 3: Cross multiply
    707.22x = 975.99 × 396.78
  4. Step 4: Simplify right side
    707.22x = 387,253.31
  5. Step 5: Solve for x
    x = 387,253.31/707.22
  6. Step 6: Final answer
    x = 547.57

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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.