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Finding the Fourth Proportional to 705.88, 974.32 and 411.28

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Solution

The fourth proportional to 705.88, 974.32 and 411.28 is: 567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.88 : 974.32 = 411.28 : x
  2. Step 2: Convert to fraction form
    705.88/974.32 = 411.28/x
  3. Step 3: Cross multiply
    705.88x = 974.32 × 411.28
  4. Step 4: Simplify right side
    705.88x = 400,718.33
  5. Step 5: Solve for x
    x = 400,718.33/705.88
  6. Step 6: Final answer
    x = 567.69

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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.