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Finding the Fourth Proportional to 468.36, 646.35 and 258.56

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Solution

The fourth proportional to 468.36, 646.35 and 258.56 is: 356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.36 : 646.35 = 258.56 : x
  2. Step 2: Convert to fraction form
    468.36/646.35 = 258.56/x
  3. Step 3: Cross multiply
    468.36x = 646.35 × 258.56
  4. Step 4: Simplify right side
    468.36x = 167,119.29
  5. Step 5: Solve for x
    x = 167,119.29/468.36
  6. Step 6: Final answer
    x = 356.82

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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.