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Finding the Fourth Proportional to 688.41, 1,032.93 and 323.46

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Solution

The fourth proportional to 688.41, 1,032.93 and 323.46 is: 485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.41 : 1,032.93 = 323.46 : x
  2. Step 2: Convert to fraction form
    688.41/1,032.93 = 323.46/x
  3. Step 3: Cross multiply
    688.41x = 1,032.93 × 323.46
  4. Step 4: Simplify right side
    688.41x = 334,111.54
  5. Step 5: Solve for x
    x = 334,111.54/688.41
  6. Step 6: Final answer
    x = 485.34

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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.