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Finding the Fourth Proportional to 419.84, 579.16 and 370.84

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Solution

The fourth proportional to 419.84, 579.16 and 370.84 is: 511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.84 : 579.16 = 370.84 : x
  2. Step 2: Convert to fraction form
    419.84/579.16 = 370.84/x
  3. Step 3: Cross multiply
    419.84x = 579.16 × 370.84
  4. Step 4: Simplify right side
    419.84x = 214,775.69
  5. Step 5: Solve for x
    x = 214,775.69/419.84
  6. Step 6: Final answer
    x = 511.57

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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.