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Finding the Fourth Proportional to 706.65, 975.17 and 396.13

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Solution

The fourth proportional to 706.65, 975.17 and 396.13 is: 546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.65 : 975.17 = 396.13 : x
  2. Step 2: Convert to fraction form
    706.65/975.17 = 396.13/x
  3. Step 3: Cross multiply
    706.65x = 975.17 × 396.13
  4. Step 4: Simplify right side
    706.65x = 386,290.21
  5. Step 5: Solve for x
    x = 386,290.21/706.65
  6. Step 6: Final answer
    x = 546.65

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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.