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Finding the Fourth Proportional to 705.26, 973.25 and 390.55

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Solution

The fourth proportional to 705.26, 973.25 and 390.55 is: 538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.26 : 973.25 = 390.55 : x
  2. Step 2: Convert to fraction form
    705.26/973.25 = 390.55/x
  3. Step 3: Cross multiply
    705.26x = 973.25 × 390.55
  4. Step 4: Simplify right side
    705.26x = 380,095.97
  5. Step 5: Solve for x
    x = 380,095.97/705.26
  6. Step 6: Final answer
    x = 538.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.