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Finding the Fourth Proportional to 469.13, 646.48 and 416.27

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Solution

The fourth proportional to 469.13, 646.48 and 416.27 is: 573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.13 : 646.48 = 416.27 : x
  2. Step 2: Convert to fraction form
    469.13/646.48 = 416.27/x
  3. Step 3: Cross multiply
    469.13x = 646.48 × 416.27
  4. Step 4: Simplify right side
    469.13x = 269,112.37
  5. Step 5: Solve for x
    x = 269,112.37/469.13
  6. Step 6: Final answer
    x = 573.65

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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.