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Finding the Fourth Proportional to 458.39, 684.37 and 385.49

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Solution

The fourth proportional to 458.39, 684.37 and 385.49 is: 575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.39 : 684.37 = 385.49 : x
  2. Step 2: Convert to fraction form
    458.39/684.37 = 385.49/x
  3. Step 3: Cross multiply
    458.39x = 684.37 × 385.49
  4. Step 4: Simplify right side
    458.39x = 263,817.79
  5. Step 5: Solve for x
    x = 263,817.79/458.39
  6. Step 6: Final answer
    x = 575.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.