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Finding the Fourth Proportional to 684.63, 945.06 and 436.08

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Solution

The fourth proportional to 684.63, 945.06 and 436.08 is: 601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.63 : 945.06 = 436.08 : x
  2. Step 2: Convert to fraction form
    684.63/945.06 = 436.08/x
  3. Step 3: Cross multiply
    684.63x = 945.06 × 436.08
  4. Step 4: Simplify right side
    684.63x = 412,121.76
  5. Step 5: Solve for x
    x = 412,121.76/684.63
  6. Step 6: Final answer
    x = 601.96

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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.