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Finding the Fourth Proportional to 420.68, 579.95 and 322.26

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Solution

The fourth proportional to 420.68, 579.95 and 322.26 is: 444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.68 : 579.95 = 322.26 : x
  2. Step 2: Convert to fraction form
    420.68/579.95 = 322.26/x
  3. Step 3: Cross multiply
    420.68x = 579.95 × 322.26
  4. Step 4: Simplify right side
    420.68x = 186,893.08
  5. Step 5: Solve for x
    x = 186,893.08/420.68
  6. Step 6: Final answer
    x = 444.27

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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.