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Finding the Fourth Proportional to 363.06, 542.03 and 341.06

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Solution

The fourth proportional to 363.06, 542.03 and 341.06 is: 509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.06 : 542.03 = 341.06 : x
  2. Step 2: Convert to fraction form
    363.06/542.03 = 341.06/x
  3. Step 3: Cross multiply
    363.06x = 542.03 × 341.06
  4. Step 4: Simplify right side
    363.06x = 184,860.34
  5. Step 5: Solve for x
    x = 184,860.34/363.06
  6. Step 6: Final answer
    x = 509.17

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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.