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Finding the Fourth Proportional to 420.60, 580.56 and 322.22

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Solution

The fourth proportional to 420.60, 580.56 and 322.22 is: 444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.60 : 580.56 = 322.22 : x
  2. Step 2: Convert to fraction form
    420.60/580.56 = 322.22/x
  3. Step 3: Cross multiply
    420.60x = 580.56 × 322.22
  4. Step 4: Simplify right side
    420.60x = 187,068.04
  5. Step 5: Solve for x
    x = 187,068.04/420.60
  6. Step 6: Final answer
    x = 444.76

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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.