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Finding the Fourth Proportional to 706.31, 975.16 and 454.35

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Solution

The fourth proportional to 706.31, 975.16 and 454.35 is: 627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.31 : 975.16 = 454.35 : x
  2. Step 2: Convert to fraction form
    706.31/975.16 = 454.35/x
  3. Step 3: Cross multiply
    706.31x = 975.16 × 454.35
  4. Step 4: Simplify right side
    706.31x = 443,060.68
  5. Step 5: Solve for x
    x = 443,060.68/706.31
  6. Step 6: Final answer
    x = 627.29

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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.