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Finding the Fourth Proportional to 684.83, 944.43 and 435.89

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Solution

The fourth proportional to 684.83, 944.43 and 435.89 is: 601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.83 : 944.43 = 435.89 : x
  2. Step 2: Convert to fraction form
    684.83/944.43 = 435.89/x
  3. Step 3: Cross multiply
    684.83x = 944.43 × 435.89
  4. Step 4: Simplify right side
    684.83x = 411,667.59
  5. Step 5: Solve for x
    x = 411,667.59/684.83
  6. Step 6: Final answer
    x = 601.12

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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.