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Finding the Fourth Proportional to 468.40, 646.32 and 258.56

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Solution

The fourth proportional to 468.40, 646.32 and 258.56 is: 356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.40 : 646.32 = 258.56 : x
  2. Step 2: Convert to fraction form
    468.40/646.32 = 258.56/x
  3. Step 3: Cross multiply
    468.40x = 646.32 × 258.56
  4. Step 4: Simplify right side
    468.40x = 167,112.50
  5. Step 5: Solve for x
    x = 167,112.50/468.40
  6. Step 6: Final answer
    x = 356.77

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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.