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Finding the Fourth Proportional to 405.17, 558.36 and 325.31

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Solution

The fourth proportional to 405.17, 558.36 and 325.31 is: 448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.17 : 558.36 = 325.31 : x
  2. Step 2: Convert to fraction form
    405.17/558.36 = 325.31/x
  3. Step 3: Cross multiply
    405.17x = 558.36 × 325.31
  4. Step 4: Simplify right side
    405.17x = 181,638.47
  5. Step 5: Solve for x
    x = 181,638.47/405.17
  6. Step 6: Final answer
    x = 448.31

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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.