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Finding the Fourth Proportional to 418.82, 578.49 and 314.40

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Solution

The fourth proportional to 418.82, 578.49 and 314.40 is: 434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.82 : 578.49 = 314.40 : x
  2. Step 2: Convert to fraction form
    418.82/578.49 = 314.40/x
  3. Step 3: Cross multiply
    418.82x = 578.49 × 314.40
  4. Step 4: Simplify right side
    418.82x = 181,877.26
  5. Step 5: Solve for x
    x = 181,877.26/418.82
  6. Step 6: Final answer
    x = 434.27

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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.