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Finding the Fourth Proportional to 362.95, 501 and 230.26

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Solution

The fourth proportional to 362.95, 501 and 230.26 is: 317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.95 : 501 = 230.26 : x
  2. Step 2: Convert to fraction form
    362.95/501 = 230.26/x
  3. Step 3: Cross multiply
    362.95x = 501 × 230.26
  4. Step 4: Simplify right side
    362.95x = 115,360.26
  5. Step 5: Solve for x
    x = 115,360.26/362.95
  6. Step 6: Final answer
    x = 317.84

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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.