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Finding the Fourth Proportional to 419.72, 579.16 and 245

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Solution

The fourth proportional to 419.72, 579.16 and 245 is: 338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.72 : 579.16 = 245 : x
  2. Step 2: Convert to fraction form
    419.72/579.16 = 245/x
  3. Step 3: Cross multiply
    419.72x = 579.16 × 245
  4. Step 4: Simplify right side
    419.72x = 141,894.20
  5. Step 5: Solve for x
    x = 141,894.20/419.72
  6. Step 6: Final answer
    x = 338.07

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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.