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Finding the Fourth Proportional to 705.07, 973.11 and 410.41

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Solution

The fourth proportional to 705.07, 973.11 and 410.41 is: 566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.07 : 973.11 = 410.41 : x
  2. Step 2: Convert to fraction form
    705.07/973.11 = 410.41/x
  3. Step 3: Cross multiply
    705.07x = 973.11 × 410.41
  4. Step 4: Simplify right side
    705.07x = 399,374.08
  5. Step 5: Solve for x
    x = 399,374.08/705.07
  6. Step 6: Final answer
    x = 566.43

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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.