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Finding the Fourth Proportional to 662.30, 914 and 382.52

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Solution

The fourth proportional to 662.30, 914 and 382.52 is: 527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.30 : 914 = 382.52 : x
  2. Step 2: Convert to fraction form
    662.30/914 = 382.52/x
  3. Step 3: Cross multiply
    662.30x = 914 × 382.52
  4. Step 4: Simplify right side
    662.30x = 349,623.28
  5. Step 5: Solve for x
    x = 349,623.28/662.30
  6. Step 6: Final answer
    x = 527.89

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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.