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Finding the Fourth Proportional to 705.71, 973.82 and 390.97

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Solution

The fourth proportional to 705.71, 973.82 and 390.97 is: 539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.71 : 973.82 = 390.97 : x
  2. Step 2: Convert to fraction form
    705.71/973.82 = 390.97/x
  3. Step 3: Cross multiply
    705.71x = 973.82 × 390.97
  4. Step 4: Simplify right side
    705.71x = 380,730.02
  5. Step 5: Solve for x
    x = 380,730.02/705.71
  6. Step 6: Final answer
    x = 539.50

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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.