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Finding the Fourth Proportional to 364.41, 545.94 and 306.99

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Solution

The fourth proportional to 364.41, 545.94 and 306.99 is: 459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.41 : 545.94 = 306.99 : x
  2. Step 2: Convert to fraction form
    364.41/545.94 = 306.99/x
  3. Step 3: Cross multiply
    364.41x = 545.94 × 306.99
  4. Step 4: Simplify right side
    364.41x = 167,598.12
  5. Step 5: Solve for x
    x = 167,598.12/364.41
  6. Step 6: Final answer
    x = 459.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.