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Finding the Fourth Proportional to 684.93, 945.34 and 405.16

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Solution

The fourth proportional to 684.93, 945.34 and 405.16 is: 559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.93 : 945.34 = 405.16 : x
  2. Step 2: Convert to fraction form
    684.93/945.34 = 405.16/x
  3. Step 3: Cross multiply
    684.93x = 945.34 × 405.16
  4. Step 4: Simplify right side
    684.93x = 383,010.58
  5. Step 5: Solve for x
    x = 383,010.58/684.93
  6. Step 6: Final answer
    x = 559.19

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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.