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Finding the Fourth Proportional to 707.71, 976.69 and 393.01

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Solution

The fourth proportional to 707.71, 976.69 and 393.01 is: 542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.71 : 976.69 = 393.01 : x
  2. Step 2: Convert to fraction form
    707.71/976.69 = 393.01/x
  3. Step 3: Cross multiply
    707.71x = 976.69 × 393.01
  4. Step 4: Simplify right side
    707.71x = 383,844.05
  5. Step 5: Solve for x
    x = 383,844.05/707.71
  6. Step 6: Final answer
    x = 542.37

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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.