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Finding the Fourth Proportional to 468.54, 646.86 and 416.64

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Solution

The fourth proportional to 468.54, 646.86 and 416.64 is: 575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.54 : 646.86 = 416.64 : x
  2. Step 2: Convert to fraction form
    468.54/646.86 = 416.64/x
  3. Step 3: Cross multiply
    468.54x = 646.86 × 416.64
  4. Step 4: Simplify right side
    468.54x = 269,507.75
  5. Step 5: Solve for x
    x = 269,507.75/468.54
  6. Step 6: Final answer
    x = 575.21

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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.