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Finding the Fourth Proportional to 465.94, 643 and 258.94

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Solution

The fourth proportional to 465.94, 643 and 258.94 is: 357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.94 : 643 = 258.94 : x
  2. Step 2: Convert to fraction form
    465.94/643 = 258.94/x
  3. Step 3: Cross multiply
    465.94x = 643 × 258.94
  4. Step 4: Simplify right side
    465.94x = 166,498.42
  5. Step 5: Solve for x
    x = 166,498.42/465.94
  6. Step 6: Final answer
    x = 357.34

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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.