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Finding the Fourth Proportional to 315.82, 435.41 and 292.87

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Solution

The fourth proportional to 315.82, 435.41 and 292.87 is: 403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.82 : 435.41 = 292.87 : x
  2. Step 2: Convert to fraction form
    315.82/435.41 = 292.87/x
  3. Step 3: Cross multiply
    315.82x = 435.41 × 292.87
  4. Step 4: Simplify right side
    315.82x = 127,517.06
  5. Step 5: Solve for x
    x = 127,517.06/315.82
  6. Step 6: Final answer
    x = 403.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.