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Finding the Fourth Proportional to 705.94, 973.96 and 411.10

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Solution

The fourth proportional to 705.94, 973.96 and 411.10 is: 567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.94 : 973.96 = 411.10 : x
  2. Step 2: Convert to fraction form
    705.94/973.96 = 411.10/x
  3. Step 3: Cross multiply
    705.94x = 973.96 × 411.10
  4. Step 4: Simplify right side
    705.94x = 400,391.49
  5. Step 5: Solve for x
    x = 400,391.49/705.94
  6. Step 6: Final answer
    x = 567.18

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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.