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Finding the Fourth Proportional to 684.84, 945.19 and 435.90

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Solution

The fourth proportional to 684.84, 945.19 and 435.90 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.84 : 945.19 = 435.90 : x
  2. Step 2: Convert to fraction form
    684.84/945.19 = 435.90/x
  3. Step 3: Cross multiply
    684.84x = 945.19 × 435.90
  4. Step 4: Simplify right side
    684.84x = 412,008.32
  5. Step 5: Solve for x
    x = 412,008.32/684.84
  6. Step 6: Final answer
    x = 601.61

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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.