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Finding the Fourth Proportional to 707.31, 976.08 and 392.55

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Solution

The fourth proportional to 707.31, 976.08 and 392.55 is: 541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.31 : 976.08 = 392.55 : x
  2. Step 2: Convert to fraction form
    707.31/976.08 = 392.55/x
  3. Step 3: Cross multiply
    707.31x = 976.08 × 392.55
  4. Step 4: Simplify right side
    707.31x = 383,160.20
  5. Step 5: Solve for x
    x = 383,160.20/707.31
  6. Step 6: Final answer
    x = 541.71

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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.