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Finding the Fourth Proportional to 379.04, 568.38 and 258.02

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Solution

The fourth proportional to 379.04, 568.38 and 258.02 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.04 : 568.38 = 258.02 : x
  2. Step 2: Convert to fraction form
    379.04/568.38 = 258.02/x
  3. Step 3: Cross multiply
    379.04x = 568.38 × 258.02
  4. Step 4: Simplify right side
    379.04x = 146,653.41
  5. Step 5: Solve for x
    x = 146,653.41/379.04
  6. Step 6: Final answer
    x = 386.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.