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Finding the Fourth Proportional to 705.06, 973.05 and 410.22

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Solution

The fourth proportional to 705.06, 973.05 and 410.22 is: 566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.06 : 973.05 = 410.22 : x
  2. Step 2: Convert to fraction form
    705.06/973.05 = 410.22/x
  3. Step 3: Cross multiply
    705.06x = 973.05 × 410.22
  4. Step 4: Simplify right side
    705.06x = 399,164.57
  5. Step 5: Solve for x
    x = 399,164.57/705.06
  6. Step 6: Final answer
    x = 566.14

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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.