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Finding the Fourth Proportional to 468.70, 646.79 and 258.87

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Solution

The fourth proportional to 468.70, 646.79 and 258.87 is: 357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.70 : 646.79 = 258.87 : x
  2. Step 2: Convert to fraction form
    468.70/646.79 = 258.87/x
  3. Step 3: Cross multiply
    468.70x = 646.79 × 258.87
  4. Step 4: Simplify right side
    468.70x = 167,436.14
  5. Step 5: Solve for x
    x = 167,436.14/468.70
  6. Step 6: Final answer
    x = 357.24

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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.