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Finding the Fourth Proportional to 465.92, 699.17 and 235.04

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Solution

The fourth proportional to 465.92, 699.17 and 235.04 is: 352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.92 : 699.17 = 235.04 : x
  2. Step 2: Convert to fraction form
    465.92/699.17 = 235.04/x
  3. Step 3: Cross multiply
    465.92x = 699.17 × 235.04
  4. Step 4: Simplify right side
    465.92x = 164,328.25
  5. Step 5: Solve for x
    x = 164,328.25/465.92
  6. Step 6: Final answer
    x = 352.70

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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.