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Finding the Fourth Proportional to 684.42, 945 and 436.14

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Solution

The fourth proportional to 684.42, 945 and 436.14 is: 602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.42 : 945 = 436.14 : x
  2. Step 2: Convert to fraction form
    684.42/945 = 436.14/x
  3. Step 3: Cross multiply
    684.42x = 945 × 436.14
  4. Step 4: Simplify right side
    684.42x = 412,152.30
  5. Step 5: Solve for x
    x = 412,152.30/684.42
  6. Step 6: Final answer
    x = 602.19

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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.