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Finding the Fourth Proportional to 382.52, 528.12 and 258.14

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Solution

The fourth proportional to 382.52, 528.12 and 258.14 is: 356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.52 : 528.12 = 258.14 : x
  2. Step 2: Convert to fraction form
    382.52/528.12 = 258.14/x
  3. Step 3: Cross multiply
    382.52x = 528.12 × 258.14
  4. Step 4: Simplify right side
    382.52x = 136,328.90
  5. Step 5: Solve for x
    x = 136,328.90/382.52
  6. Step 6: Final answer
    x = 356.40

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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.