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Finding the Fourth Proportional to 707.72, 976.62 and 392.96

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Solution

The fourth proportional to 707.72, 976.62 and 392.96 is: 542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.72 : 976.62 = 392.96 : x
  2. Step 2: Convert to fraction form
    707.72/976.62 = 392.96/x
  3. Step 3: Cross multiply
    707.72x = 976.62 × 392.96
  4. Step 4: Simplify right side
    707.72x = 383,772.60
  5. Step 5: Solve for x
    x = 383,772.60/707.72
  6. Step 6: Final answer
    x = 542.27

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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.