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Finding the Fourth Proportional to 382.83, 528.49 and 258.69

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Solution

The fourth proportional to 382.83, 528.49 and 258.69 is: 357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.83 : 528.49 = 258.69 : x
  2. Step 2: Convert to fraction form
    382.83/528.49 = 258.69/x
  3. Step 3: Cross multiply
    382.83x = 528.49 × 258.69
  4. Step 4: Simplify right side
    382.83x = 136,717.38
  5. Step 5: Solve for x
    x = 136,717.38/382.83
  6. Step 6: Final answer
    x = 357.13

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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.