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Finding the Fourth Proportional to 459.14, 633.25 and 311.51

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Solution

The fourth proportional to 459.14, 633.25 and 311.51 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 633.25 = 311.51 : x
  2. Step 2: Convert to fraction form
    459.14/633.25 = 311.51/x
  3. Step 3: Cross multiply
    459.14x = 633.25 × 311.51
  4. Step 4: Simplify right side
    459.14x = 197,265.68
  5. Step 5: Solve for x
    x = 197,265.68/459.14
  6. Step 6: Final answer
    x = 429.65

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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.