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Finding the Fourth Proportional to 684.52, 944.36 and 435.78

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Solution

The fourth proportional to 684.52, 944.36 and 435.78 is: 601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.52 : 944.36 = 435.78 : x
  2. Step 2: Convert to fraction form
    684.52/944.36 = 435.78/x
  3. Step 3: Cross multiply
    684.52x = 944.36 × 435.78
  4. Step 4: Simplify right side
    684.52x = 411,532.66
  5. Step 5: Solve for x
    x = 411,532.66/684.52
  6. Step 6: Final answer
    x = 601.20

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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.