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Finding the Fourth Proportional to 684.60, 944.36 and 404.70

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Solution

The fourth proportional to 684.60, 944.36 and 404.70 is: 558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.60 : 944.36 = 404.70 : x
  2. Step 2: Convert to fraction form
    684.60/944.36 = 404.70/x
  3. Step 3: Cross multiply
    684.60x = 944.36 × 404.70
  4. Step 4: Simplify right side
    684.60x = 382,182.49
  5. Step 5: Solve for x
    x = 382,182.49/684.60
  6. Step 6: Final answer
    x = 558.26

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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.