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Finding the Fourth Proportional to 459.15, 633.07 and 319.39

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Solution

The fourth proportional to 459.15, 633.07 and 319.39 is: 440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.15 : 633.07 = 319.39 : x
  2. Step 2: Convert to fraction form
    459.15/633.07 = 319.39/x
  3. Step 3: Cross multiply
    459.15x = 633.07 × 319.39
  4. Step 4: Simplify right side
    459.15x = 202,196.23
  5. Step 5: Solve for x
    x = 202,196.23/459.15
  6. Step 6: Final answer
    x = 440.37

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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.