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Finding the Fourth Proportional to 363.60, 542.76 and 319.81

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Solution

The fourth proportional to 363.60, 542.76 and 319.81 is: 477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.60 : 542.76 = 319.81 : x
  2. Step 2: Convert to fraction form
    363.60/542.76 = 319.81/x
  3. Step 3: Cross multiply
    363.60x = 542.76 × 319.81
  4. Step 4: Simplify right side
    363.60x = 173,580.08
  5. Step 5: Solve for x
    x = 173,580.08/363.60
  6. Step 6: Final answer
    x = 477.39

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