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Finding the Fourth Proportional to 420.51, 580.29 and 234

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Solution

The fourth proportional to 420.51, 580.29 and 234 is: 322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.51 : 580.29 = 234 : x
  2. Step 2: Convert to fraction form
    420.51/580.29 = 234/x
  3. Step 3: Cross multiply
    420.51x = 580.29 × 234
  4. Step 4: Simplify right side
    420.51x = 135,787.86
  5. Step 5: Solve for x
    x = 135,787.86/420.51
  6. Step 6: Final answer
    x = 322.91

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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.