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Finding the Fourth Proportional to 420.53, 631.22 and 363.65

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Solution

The fourth proportional to 420.53, 631.22 and 363.65 is: 545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.53 : 631.22 = 363.65 : x
  2. Step 2: Convert to fraction form
    420.53/631.22 = 363.65/x
  3. Step 3: Cross multiply
    420.53x = 631.22 × 363.65
  4. Step 4: Simplify right side
    420.53x = 229,538.18
  5. Step 5: Solve for x
    x = 229,538.18/420.53
  6. Step 6: Final answer
    x = 545.84

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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.