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Finding the Fourth Proportional to 468.14, 646.02 and 258.32

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Solution

The fourth proportional to 468.14, 646.02 and 258.32 is: 356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 646.02 = 258.32 : x
  2. Step 2: Convert to fraction form
    468.14/646.02 = 258.32/x
  3. Step 3: Cross multiply
    468.14x = 646.02 × 258.32
  4. Step 4: Simplify right side
    468.14x = 166,879.89
  5. Step 5: Solve for x
    x = 166,879.89/468.14
  6. Step 6: Final answer
    x = 356.47

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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.