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Finding the Fourth Proportional to 427.61, 590.54 and 322.53

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Solution

The fourth proportional to 427.61, 590.54 and 322.53 is: 445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.61 : 590.54 = 322.53 : x
  2. Step 2: Convert to fraction form
    427.61/590.54 = 322.53/x
  3. Step 3: Cross multiply
    427.61x = 590.54 × 322.53
  4. Step 4: Simplify right side
    427.61x = 190,463.04
  5. Step 5: Solve for x
    x = 190,463.04/427.61
  6. Step 6: Final answer
    x = 445.41

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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.