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Finding the Fourth Proportional to 467.56, 646.89 and 397.36

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Solution

The fourth proportional to 467.56, 646.89 and 397.36 is: 549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.56 : 646.89 = 397.36 : x
  2. Step 2: Convert to fraction form
    467.56/646.89 = 397.36/x
  3. Step 3: Cross multiply
    467.56x = 646.89 × 397.36
  4. Step 4: Simplify right side
    467.56x = 257,048.21
  5. Step 5: Solve for x
    x = 257,048.21/467.56
  6. Step 6: Final answer
    x = 549.77

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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.