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Finding the Fourth Proportional to 363.68, 542.95 and 302.96

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Solution

The fourth proportional to 363.68, 542.95 and 302.96 is: 452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.68 : 542.95 = 302.96 : x
  2. Step 2: Convert to fraction form
    363.68/542.95 = 302.96/x
  3. Step 3: Cross multiply
    363.68x = 542.95 × 302.96
  4. Step 4: Simplify right side
    363.68x = 164,492.13
  5. Step 5: Solve for x
    x = 164,492.13/363.68
  6. Step 6: Final answer
    x = 452.30

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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.