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Finding the Fourth Proportional to 930.29, 1,395.61 and 280.94

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Solution

The fourth proportional to 930.29, 1,395.61 and 280.94 is: 421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.29 : 1,395.61 = 280.94 : x
  2. Step 2: Convert to fraction form
    930.29/1,395.61 = 280.94/x
  3. Step 3: Cross multiply
    930.29x = 1,395.61 × 280.94
  4. Step 4: Simplify right side
    930.29x = 392,074.99
  5. Step 5: Solve for x
    x = 392,074.99/930.29
  6. Step 6: Final answer
    x = 421.46

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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.