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Finding the Fourth Proportional to 707.34, 976.14 and 396.84

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Solution

The fourth proportional to 707.34, 976.14 and 396.84 is: 547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.34 : 976.14 = 396.84 : x
  2. Step 2: Convert to fraction form
    707.34/976.14 = 396.84/x
  3. Step 3: Cross multiply
    707.34x = 976.14 × 396.84
  4. Step 4: Simplify right side
    707.34x = 387,375.06
  5. Step 5: Solve for x
    x = 387,375.06/707.34
  6. Step 6: Final answer
    x = 547.65

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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.