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Finding the Fourth Proportional to 929.26, 1,394.07 and 280

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Solution

The fourth proportional to 929.26, 1,394.07 and 280 is: 420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.26 : 1,394.07 = 280 : x
  2. Step 2: Convert to fraction form
    929.26/1,394.07 = 280/x
  3. Step 3: Cross multiply
    929.26x = 1,394.07 × 280
  4. Step 4: Simplify right side
    929.26x = 390,339.60
  5. Step 5: Solve for x
    x = 390,339.60/929.26
  6. Step 6: Final answer
    x = 420.05

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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.