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Finding the Fourth Proportional to 459.16, 633.38 and 301.82

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Solution

The fourth proportional to 459.16, 633.38 and 301.82 is: 416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.16 : 633.38 = 301.82 : x
  2. Step 2: Convert to fraction form
    459.16/633.38 = 301.82/x
  3. Step 3: Cross multiply
    459.16x = 633.38 × 301.82
  4. Step 4: Simplify right side
    459.16x = 191,166.75
  5. Step 5: Solve for x
    x = 191,166.75/459.16
  6. Step 6: Final answer
    x = 416.34

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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.