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Finding the Fourth Proportional to 420.36, 579.52 and 411.16

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Solution

The fourth proportional to 420.36, 579.52 and 411.16 is: 566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.36 : 579.52 = 411.16 : x
  2. Step 2: Convert to fraction form
    420.36/579.52 = 411.16/x
  3. Step 3: Cross multiply
    420.36x = 579.52 × 411.16
  4. Step 4: Simplify right side
    420.36x = 238,275.44
  5. Step 5: Solve for x
    x = 238,275.44/420.36
  6. Step 6: Final answer
    x = 566.84

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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.