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Finding the Fourth Proportional to 929.24, 1,394.14 and 280.08

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Solution

The fourth proportional to 929.24, 1,394.14 and 280.08 is: 420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.24 : 1,394.14 = 280.08 : x
  2. Step 2: Convert to fraction form
    929.24/1,394.14 = 280.08/x
  3. Step 3: Cross multiply
    929.24x = 1,394.14 × 280.08
  4. Step 4: Simplify right side
    929.24x = 390,470.73
  5. Step 5: Solve for x
    x = 390,470.73/929.24
  6. Step 6: Final answer
    x = 420.20

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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.