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Finding the Fourth Proportional to 459.12, 633.96 and 312.24

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Solution

The fourth proportional to 459.12, 633.96 and 312.24 is: 431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 633.96 = 312.24 : x
  2. Step 2: Convert to fraction form
    459.12/633.96 = 312.24/x
  3. Step 3: Cross multiply
    459.12x = 633.96 × 312.24
  4. Step 4: Simplify right side
    459.12x = 197,947.67
  5. Step 5: Solve for x
    x = 197,947.67/459.12
  6. Step 6: Final answer
    x = 431.15

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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.