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Finding the Fourth Proportional to 459.46, 633.74 and 335.54

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Solution

The fourth proportional to 459.46, 633.74 and 335.54 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.46 : 633.74 = 335.54 : x
  2. Step 2: Convert to fraction form
    459.46/633.74 = 335.54/x
  3. Step 3: Cross multiply
    459.46x = 633.74 × 335.54
  4. Step 4: Simplify right side
    459.46x = 212,645.12
  5. Step 5: Solve for x
    x = 212,645.12/459.46
  6. Step 6: Final answer
    x = 462.82

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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.