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Finding the Fourth Proportional to 707.07, 975.76 and 392.33

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Solution

The fourth proportional to 707.07, 975.76 and 392.33 is: 541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.07 : 975.76 = 392.33 : x
  2. Step 2: Convert to fraction form
    707.07/975.76 = 392.33/x
  3. Step 3: Cross multiply
    707.07x = 975.76 × 392.33
  4. Step 4: Simplify right side
    707.07x = 382,817.96
  5. Step 5: Solve for x
    x = 382,817.96/707.07
  6. Step 6: Final answer
    x = 541.42

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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.