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Finding the Fourth Proportional to 930.46, 1,395.68 and 382.24

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Solution

The fourth proportional to 930.46, 1,395.68 and 382.24 is: 573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.46 : 1,395.68 = 382.24 : x
  2. Step 2: Convert to fraction form
    930.46/1,395.68 = 382.24/x
  3. Step 3: Cross multiply
    930.46x = 1,395.68 × 382.24
  4. Step 4: Simplify right side
    930.46x = 533,484.72
  5. Step 5: Solve for x
    x = 533,484.72/930.46
  6. Step 6: Final answer
    x = 573.36

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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.