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Finding the Fourth Proportional to 459.29, 633.66 and 311.87

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Solution

The fourth proportional to 459.29, 633.66 and 311.87 is: 430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.29 : 633.66 = 311.87 : x
  2. Step 2: Convert to fraction form
    459.29/633.66 = 311.87/x
  3. Step 3: Cross multiply
    459.29x = 633.66 × 311.87
  4. Step 4: Simplify right side
    459.29x = 197,619.54
  5. Step 5: Solve for x
    x = 197,619.54/459.29
  6. Step 6: Final answer
    x = 430.27

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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.