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Finding the Fourth Proportional to 646.14, 891.48 and 384.12

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Solution

The fourth proportional to 646.14, 891.48 and 384.12 is: 529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.14 : 891.48 = 384.12 : x
  2. Step 2: Convert to fraction form
    646.14/891.48 = 384.12/x
  3. Step 3: Cross multiply
    646.14x = 891.48 × 384.12
  4. Step 4: Simplify right side
    646.14x = 342,435.30
  5. Step 5: Solve for x
    x = 342,435.30/646.14
  6. Step 6: Final answer
    x = 529.97

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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.