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Finding the Fourth Proportional to 459.42, 634.08 and 270.42

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Solution

The fourth proportional to 459.42, 634.08 and 270.42 is: 373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 634.08 = 270.42 : x
  2. Step 2: Convert to fraction form
    459.42/634.08 = 270.42/x
  3. Step 3: Cross multiply
    459.42x = 634.08 × 270.42
  4. Step 4: Simplify right side
    459.42x = 171,467.91
  5. Step 5: Solve for x
    x = 171,467.91/459.42
  6. Step 6: Final answer
    x = 373.23

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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.