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Finding the Fourth Proportional to 460.92, 690.30 and 352.92

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Solution

The fourth proportional to 460.92, 690.30 and 352.92 is: 528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.92 : 690.30 = 352.92 : x
  2. Step 2: Convert to fraction form
    460.92/690.30 = 352.92/x
  3. Step 3: Cross multiply
    460.92x = 690.30 × 352.92
  4. Step 4: Simplify right side
    460.92x = 243,620.68
  5. Step 5: Solve for x
    x = 243,620.68/460.92
  6. Step 6: Final answer
    x = 528.55

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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.