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Finding the Fourth Proportional to 465.74, 642.75 and 258.74

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Solution

The fourth proportional to 465.74, 642.75 and 258.74 is: 357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.74 : 642.75 = 258.74 : x
  2. Step 2: Convert to fraction form
    465.74/642.75 = 258.74/x
  3. Step 3: Cross multiply
    465.74x = 642.75 × 258.74
  4. Step 4: Simplify right side
    465.74x = 166,305.14
  5. Step 5: Solve for x
    x = 166,305.14/465.74
  6. Step 6: Final answer
    x = 357.08

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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.