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Finding the Fourth Proportional to 705.76, 973.92 and 444.04

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Solution

The fourth proportional to 705.76, 973.92 and 444.04 is: 612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.76 : 973.92 = 444.04 : x
  2. Step 2: Convert to fraction form
    705.76/973.92 = 444.04/x
  3. Step 3: Cross multiply
    705.76x = 973.92 × 444.04
  4. Step 4: Simplify right side
    705.76x = 432,459.44
  5. Step 5: Solve for x
    x = 432,459.44/705.76
  6. Step 6: Final answer
    x = 612.76

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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.