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Finding the Fourth Proportional to 362.95, 501.35 and 293.27

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Solution

The fourth proportional to 362.95, 501.35 and 293.27 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.95 : 501.35 = 293.27 : x
  2. Step 2: Convert to fraction form
    362.95/501.35 = 293.27/x
  3. Step 3: Cross multiply
    362.95x = 501.35 × 293.27
  4. Step 4: Simplify right side
    362.95x = 147,026.94
  5. Step 5: Solve for x
    x = 147,026.94/362.95
  6. Step 6: Final answer
    x = 405.09

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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.