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Finding the Fourth Proportional to 705.75, 973.86 and 411.01

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Solution

The fourth proportional to 705.75, 973.86 and 411.01 is: 567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.75 : 973.86 = 411.01 : x
  2. Step 2: Convert to fraction form
    705.75/973.86 = 411.01/x
  3. Step 3: Cross multiply
    705.75x = 973.86 × 411.01
  4. Step 4: Simplify right side
    705.75x = 400,262.22
  5. Step 5: Solve for x
    x = 400,262.22/705.75
  6. Step 6: Final answer
    x = 567.15

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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.