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Finding the Fourth Proportional to 416.10, 572.63 and 322.48

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Solution

The fourth proportional to 416.10, 572.63 and 322.48 is: 443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.10 : 572.63 = 322.48 : x
  2. Step 2: Convert to fraction form
    416.10/572.63 = 322.48/x
  3. Step 3: Cross multiply
    416.10x = 572.63 × 322.48
  4. Step 4: Simplify right side
    416.10x = 184,661.72
  5. Step 5: Solve for x
    x = 184,661.72/416.10
  6. Step 6: Final answer
    x = 443.79

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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.