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Finding the Fourth Proportional to 468.07, 645.93 and 258.24

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Solution

The fourth proportional to 468.07, 645.93 and 258.24 is: 356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.07 : 645.93 = 258.24 : x
  2. Step 2: Convert to fraction form
    468.07/645.93 = 258.24/x
  3. Step 3: Cross multiply
    468.07x = 645.93 × 258.24
  4. Step 4: Simplify right side
    468.07x = 166,804.96
  5. Step 5: Solve for x
    x = 166,804.96/468.07
  6. Step 6: Final answer
    x = 356.37

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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.