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Finding the Fourth Proportional to 646.16, 891.84 and 384.44

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Solution

The fourth proportional to 646.16, 891.84 and 384.44 is: 530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 891.84 = 384.44 : x
  2. Step 2: Convert to fraction form
    646.16/891.84 = 384.44/x
  3. Step 3: Cross multiply
    646.16x = 891.84 × 384.44
  4. Step 4: Simplify right side
    646.16x = 342,858.97
  5. Step 5: Solve for x
    x = 342,858.97/646.16
  6. Step 6: Final answer
    x = 530.61

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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.