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Finding the Fourth Proportional to 460.47, 689.93 and 323.27

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Solution

The fourth proportional to 460.47, 689.93 and 323.27 is: 484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.47 : 689.93 = 323.27 : x
  2. Step 2: Convert to fraction form
    460.47/689.93 = 323.27/x
  3. Step 3: Cross multiply
    460.47x = 689.93 × 323.27
  4. Step 4: Simplify right side
    460.47x = 223,030.92
  5. Step 5: Solve for x
    x = 223,030.92/460.47
  6. Step 6: Final answer
    x = 484.36

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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.