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Finding the Fourth Proportional to 459.14, 684.84 and 385.16

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Solution

The fourth proportional to 459.14, 684.84 and 385.16 is: 574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 684.84 = 385.16 : x
  2. Step 2: Convert to fraction form
    459.14/684.84 = 385.16/x
  3. Step 3: Cross multiply
    459.14x = 684.84 × 385.16
  4. Step 4: Simplify right side
    459.14x = 263,770.45
  5. Step 5: Solve for x
    x = 263,770.45/459.14
  6. Step 6: Final answer
    x = 574.48

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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.