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Finding the Fourth Proportional to 468.54, 646.16 and 406.34

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Solution

The fourth proportional to 468.54, 646.16 and 406.34 is: 560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.54 : 646.16 = 406.34 : x
  2. Step 2: Convert to fraction form
    468.54/646.16 = 406.34/x
  3. Step 3: Cross multiply
    468.54x = 646.16 × 406.34
  4. Step 4: Simplify right side
    468.54x = 262,560.65
  5. Step 5: Solve for x
    x = 262,560.65/468.54
  6. Step 6: Final answer
    x = 560.38

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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.