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Finding the Fourth Proportional to 703.93, 971.46 and 405.22

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Solution

The fourth proportional to 703.93, 971.46 and 405.22 is: 559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.93 : 971.46 = 405.22 : x
  2. Step 2: Convert to fraction form
    703.93/971.46 = 405.22/x
  3. Step 3: Cross multiply
    703.93x = 971.46 × 405.22
  4. Step 4: Simplify right side
    703.93x = 393,655.02
  5. Step 5: Solve for x
    x = 393,655.02/703.93
  6. Step 6: Final answer
    x = 559.22

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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.