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Finding the Fourth Proportional to 365.68, 545.56 and 310.96

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Solution

The fourth proportional to 365.68, 545.56 and 310.96 is: 463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.68 : 545.56 = 310.96 : x
  2. Step 2: Convert to fraction form
    365.68/545.56 = 310.96/x
  3. Step 3: Cross multiply
    365.68x = 545.56 × 310.96
  4. Step 4: Simplify right side
    365.68x = 169,647.34
  5. Step 5: Solve for x
    x = 169,647.34/365.68
  6. Step 6: Final answer
    x = 463.92

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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.