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Finding the Fourth Proportional to 705.55, 973.78 and 410.81

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Solution

The fourth proportional to 705.55, 973.78 and 410.81 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.55 : 973.78 = 410.81 : x
  2. Step 2: Convert to fraction form
    705.55/973.78 = 410.81/x
  3. Step 3: Cross multiply
    705.55x = 973.78 × 410.81
  4. Step 4: Simplify right side
    705.55x = 400,039.97
  5. Step 5: Solve for x
    x = 400,039.97/705.55
  6. Step 6: Final answer
    x = 566.99

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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.