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Finding the Fourth Proportional to 706.58, 975.06 and 411.90

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Solution

The fourth proportional to 706.58, 975.06 and 411.90 is: 568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.58 : 975.06 = 411.90 : x
  2. Step 2: Convert to fraction form
    706.58/975.06 = 411.90/x
  3. Step 3: Cross multiply
    706.58x = 975.06 × 411.90
  4. Step 4: Simplify right side
    706.58x = 401,627.21
  5. Step 5: Solve for x
    x = 401,627.21/706.58
  6. Step 6: Final answer
    x = 568.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.