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Finding the Fourth Proportional to 700.81, 967.13 and 390.31

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Solution

The fourth proportional to 700.81, 967.13 and 390.31 is: 538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.81 : 967.13 = 390.31 : x
  2. Step 2: Convert to fraction form
    700.81/967.13 = 390.31/x
  3. Step 3: Cross multiply
    700.81x = 967.13 × 390.31
  4. Step 4: Simplify right side
    700.81x = 377,480.51
  5. Step 5: Solve for x
    x = 377,480.51/700.81
  6. Step 6: Final answer
    x = 538.63

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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.