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Finding the Fourth Proportional to 465.42, 638.67 and 424.07

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Solution

The fourth proportional to 465.42, 638.67 and 424.07 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 638.67 = 424.07 : x
  2. Step 2: Convert to fraction form
    465.42/638.67 = 424.07/x
  3. Step 3: Cross multiply
    465.42x = 638.67 × 424.07
  4. Step 4: Simplify right side
    465.42x = 270,843.68
  5. Step 5: Solve for x
    x = 270,843.68/465.42
  6. Step 6: Final answer
    x = 581.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.