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Finding the Fourth Proportional to 420.51, 580.31 and 294.66

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Solution

The fourth proportional to 420.51, 580.31 and 294.66 is: 406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.51 : 580.31 = 294.66 : x
  2. Step 2: Convert to fraction form
    420.51/580.31 = 294.66/x
  3. Step 3: Cross multiply
    420.51x = 580.31 × 294.66
  4. Step 4: Simplify right side
    420.51x = 170,992.67
  5. Step 5: Solve for x
    x = 170,992.67/420.51
  6. Step 6: Final answer
    x = 406.63

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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.