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Finding the Fourth Proportional to 419.84, 579.24 and 341.12

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Solution

The fourth proportional to 419.84, 579.24 and 341.12 is: 470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.84 : 579.24 = 341.12 : x
  2. Step 2: Convert to fraction form
    419.84/579.24 = 341.12/x
  3. Step 3: Cross multiply
    419.84x = 579.24 × 341.12
  4. Step 4: Simplify right side
    419.84x = 197,590.35
  5. Step 5: Solve for x
    x = 197,590.35/419.84
  6. Step 6: Final answer
    x = 470.63

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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.