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Finding the Fourth Proportional to 420.70, 580.62 and 322.42

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Solution

The fourth proportional to 420.70, 580.62 and 322.42 is: 444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.70 : 580.62 = 322.42 : x
  2. Step 2: Convert to fraction form
    420.70/580.62 = 322.42/x
  3. Step 3: Cross multiply
    420.70x = 580.62 × 322.42
  4. Step 4: Simplify right side
    420.70x = 187,203.50
  5. Step 5: Solve for x
    x = 187,203.50/420.70
  6. Step 6: Final answer
    x = 444.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.