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Finding the Fourth Proportional to 453.47, 679.08 and 409.64

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Solution

The fourth proportional to 453.47, 679.08 and 409.64 is: 613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.47 : 679.08 = 409.64 : x
  2. Step 2: Convert to fraction form
    453.47/679.08 = 409.64/x
  3. Step 3: Cross multiply
    453.47x = 679.08 × 409.64
  4. Step 4: Simplify right side
    453.47x = 278,176.47
  5. Step 5: Solve for x
    x = 278,176.47/453.47
  6. Step 6: Final answer
    x = 613.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.