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Finding the Fourth Proportional to 420.48, 580.08 and 296.12

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Solution

The fourth proportional to 420.48, 580.08 and 296.12 is: 408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.48 : 580.08 = 296.12 : x
  2. Step 2: Convert to fraction form
    420.48/580.08 = 296.12/x
  3. Step 3: Cross multiply
    420.48x = 580.08 × 296.12
  4. Step 4: Simplify right side
    420.48x = 171,773.29
  5. Step 5: Solve for x
    x = 171,773.29/420.48
  6. Step 6: Final answer
    x = 408.52

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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.