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Finding the Fourth Proportional to 459.22, 633.89 and 304.02

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Solution

The fourth proportional to 459.22, 633.89 and 304.02 is: 419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.22 : 633.89 = 304.02 : x
  2. Step 2: Convert to fraction form
    459.22/633.89 = 304.02/x
  3. Step 3: Cross multiply
    459.22x = 633.89 × 304.02
  4. Step 4: Simplify right side
    459.22x = 192,715.24
  5. Step 5: Solve for x
    x = 192,715.24/459.22
  6. Step 6: Final answer
    x = 419.66

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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.