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Finding the Fourth Proportional to 707.32, 976.10 and 392.59

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Solution

The fourth proportional to 707.32, 976.10 and 392.59 is: 541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.32 : 976.10 = 392.59 : x
  2. Step 2: Convert to fraction form
    707.32/976.10 = 392.59/x
  3. Step 3: Cross multiply
    707.32x = 976.10 × 392.59
  4. Step 4: Simplify right side
    707.32x = 383,201.97
  5. Step 5: Solve for x
    x = 383,201.97/707.32
  6. Step 6: Final answer
    x = 541.77

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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.