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Finding the Fourth Proportional to 459.10, 633.33 and 301.66

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Solution

The fourth proportional to 459.10, 633.33 and 301.66 is: 416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.10 : 633.33 = 301.66 : x
  2. Step 2: Convert to fraction form
    459.10/633.33 = 301.66/x
  3. Step 3: Cross multiply
    459.10x = 633.33 × 301.66
  4. Step 4: Simplify right side
    459.10x = 191,050.33
  5. Step 5: Solve for x
    x = 191,050.33/459.10
  6. Step 6: Final answer
    x = 416.14

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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.