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Finding the Fourth Proportional to 411.84, 569.03 and 324.36

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Solution

The fourth proportional to 411.84, 569.03 and 324.36 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 569.03 = 324.36 : x
  2. Step 2: Convert to fraction form
    411.84/569.03 = 324.36/x
  3. Step 3: Cross multiply
    411.84x = 569.03 × 324.36
  4. Step 4: Simplify right side
    411.84x = 184,568.95
  5. Step 5: Solve for x
    x = 184,568.95/411.84
  6. Step 6: Final answer
    x = 448.16

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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.