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Finding the Fourth Proportional to 418.84, 578.72 and 404.06

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Solution

The fourth proportional to 418.84, 578.72 and 404.06 is: 558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.84 : 578.72 = 404.06 : x
  2. Step 2: Convert to fraction form
    418.84/578.72 = 404.06/x
  3. Step 3: Cross multiply
    418.84x = 578.72 × 404.06
  4. Step 4: Simplify right side
    418.84x = 233,832.69
  5. Step 5: Solve for x
    x = 233,832.69/418.84
  6. Step 6: Final answer
    x = 558.29

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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.