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Finding the Fourth Proportional to 646.27, 892.08 and 384.28

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Solution

The fourth proportional to 646.27, 892.08 and 384.28 is: 530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.27 : 892.08 = 384.28 : x
  2. Step 2: Convert to fraction form
    646.27/892.08 = 384.28/x
  3. Step 3: Cross multiply
    646.27x = 892.08 × 384.28
  4. Step 4: Simplify right side
    646.27x = 342,806.58
  5. Step 5: Solve for x
    x = 342,806.58/646.27
  6. Step 6: Final answer
    x = 530.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.