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Finding the Fourth Proportional to 930.28, 1,395.08 and 382.16

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Solution

The fourth proportional to 930.28, 1,395.08 and 382.16 is: 573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.28 : 1,395.08 = 382.16 : x
  2. Step 2: Convert to fraction form
    930.28/1,395.08 = 382.16/x
  3. Step 3: Cross multiply
    930.28x = 1,395.08 × 382.16
  4. Step 4: Simplify right side
    930.28x = 533,143.77
  5. Step 5: Solve for x
    x = 533,143.77/930.28
  6. Step 6: Final answer
    x = 573.10

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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.