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Finding the Fourth Proportional to 925.71, 1,388.61 and 276.45

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Solution

The fourth proportional to 925.71, 1,388.61 and 276.45 is: 414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.71 : 1,388.61 = 276.45 : x
  2. Step 2: Convert to fraction form
    925.71/1,388.61 = 276.45/x
  3. Step 3: Cross multiply
    925.71x = 1,388.61 × 276.45
  4. Step 4: Simplify right side
    925.71x = 383,881.23
  5. Step 5: Solve for x
    x = 383,881.23/925.71
  6. Step 6: Final answer
    x = 414.69

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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.