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Finding the Fourth Proportional to 459.26, 633.56 and 311.84

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Solution

The fourth proportional to 459.26, 633.56 and 311.84 is: 430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.26 : 633.56 = 311.84 : x
  2. Step 2: Convert to fraction form
    459.26/633.56 = 311.84/x
  3. Step 3: Cross multiply
    459.26x = 633.56 × 311.84
  4. Step 4: Simplify right side
    459.26x = 197,569.35
  5. Step 5: Solve for x
    x = 197,569.35/459.26
  6. Step 6: Final answer
    x = 430.19

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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.