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Finding the Fourth Proportional to 684.80, 945.09 and 405.13

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Solution

The fourth proportional to 684.80, 945.09 and 405.13 is: 559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.80 : 945.09 = 405.13 : x
  2. Step 2: Convert to fraction form
    684.80/945.09 = 405.13/x
  3. Step 3: Cross multiply
    684.80x = 945.09 × 405.13
  4. Step 4: Simplify right side
    684.80x = 382,884.31
  5. Step 5: Solve for x
    x = 382,884.31/684.80
  6. Step 6: Final answer
    x = 559.12

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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.