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Finding the Fourth Proportional to 420.86, 630.46 and 276.14

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Solution

The fourth proportional to 420.86, 630.46 and 276.14 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.86 : 630.46 = 276.14 : x
  2. Step 2: Convert to fraction form
    420.86/630.46 = 276.14/x
  3. Step 3: Cross multiply
    420.86x = 630.46 × 276.14
  4. Step 4: Simplify right side
    420.86x = 174,095.22
  5. Step 5: Solve for x
    x = 174,095.22/420.86
  6. Step 6: Final answer
    x = 413.67

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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.