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Finding the Fourth Proportional to 364.13, 545.45 and 303.06

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Solution

The fourth proportional to 364.13, 545.45 and 303.06 is: 453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.13 : 545.45 = 303.06 : x
  2. Step 2: Convert to fraction form
    364.13/545.45 = 303.06/x
  3. Step 3: Cross multiply
    364.13x = 545.45 × 303.06
  4. Step 4: Simplify right side
    364.13x = 165,302.56
  5. Step 5: Solve for x
    x = 165,302.56/364.13
  6. Step 6: Final answer
    x = 453.97

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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.