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Finding the Fourth Proportional to 483.42, 666.45 and 409.44

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Solution

The fourth proportional to 483.42, 666.45 and 409.44 is: 564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.42 : 666.45 = 409.44 : x
  2. Step 2: Convert to fraction form
    483.42/666.45 = 409.44/x
  3. Step 3: Cross multiply
    483.42x = 666.45 × 409.44
  4. Step 4: Simplify right side
    483.42x = 272,871.29
  5. Step 5: Solve for x
    x = 272,871.29/483.42
  6. Step 6: Final answer
    x = 564.46

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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.