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Finding the Fourth Proportional to 362.49, 540.29 and 341.99

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Solution

The fourth proportional to 362.49, 540.29 and 341.99 is: 509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.49 : 540.29 = 341.99 : x
  2. Step 2: Convert to fraction form
    362.49/540.29 = 341.99/x
  3. Step 3: Cross multiply
    362.49x = 540.29 × 341.99
  4. Step 4: Simplify right side
    362.49x = 184,769.37
  5. Step 5: Solve for x
    x = 184,769.37/362.49
  6. Step 6: Final answer
    x = 509.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.