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Finding the Fourth Proportional to 649.08, 973.76 and 210.38

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Solution

The fourth proportional to 649.08, 973.76 and 210.38 is: 315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.08 : 973.76 = 210.38 : x
  2. Step 2: Convert to fraction form
    649.08/973.76 = 210.38/x
  3. Step 3: Cross multiply
    649.08x = 973.76 × 210.38
  4. Step 4: Simplify right side
    649.08x = 204,855.77
  5. Step 5: Solve for x
    x = 204,855.77/649.08
  6. Step 6: Final answer
    x = 315.61

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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.