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Finding the Fourth Proportional to 420.52, 580.35 and 234.02

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Solution

The fourth proportional to 420.52, 580.35 and 234.02 is: 322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.52 : 580.35 = 234.02 : x
  2. Step 2: Convert to fraction form
    420.52/580.35 = 234.02/x
  3. Step 3: Cross multiply
    420.52x = 580.35 × 234.02
  4. Step 4: Simplify right side
    420.52x = 135,813.51
  5. Step 5: Solve for x
    x = 135,813.51/420.52
  6. Step 6: Final answer
    x = 322.97

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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.