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Finding the Fourth Proportional to 423.96, 585.09 and 297.96

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Solution

The fourth proportional to 423.96, 585.09 and 297.96 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.96 : 585.09 = 297.96 : x
  2. Step 2: Convert to fraction form
    423.96/585.09 = 297.96/x
  3. Step 3: Cross multiply
    423.96x = 585.09 × 297.96
  4. Step 4: Simplify right side
    423.96x = 174,333.42
  5. Step 5: Solve for x
    x = 174,333.42/423.96
  6. Step 6: Final answer
    x = 411.20

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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.