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Finding the Fourth Proportional to 925.91, 1,388.54 and 309.47

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Solution

The fourth proportional to 925.91, 1,388.54 and 309.47 is: 464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.91 : 1,388.54 = 309.47 : x
  2. Step 2: Convert to fraction form
    925.91/1,388.54 = 309.47/x
  3. Step 3: Cross multiply
    925.91x = 1,388.54 × 309.47
  4. Step 4: Simplify right side
    925.91x = 429,705.30
  5. Step 5: Solve for x
    x = 429,705.30/925.91
  6. Step 6: Final answer
    x = 464.09

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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.