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Finding the Fourth Proportional to 649.48, 973.91 and 210.65

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Solution

The fourth proportional to 649.48, 973.91 and 210.65 is: 315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.48 : 973.91 = 210.65 : x
  2. Step 2: Convert to fraction form
    649.48/973.91 = 210.65/x
  3. Step 3: Cross multiply
    649.48x = 973.91 × 210.65
  4. Step 4: Simplify right side
    649.48x = 205,154.14
  5. Step 5: Solve for x
    x = 205,154.14/649.48
  6. Step 6: Final answer
    x = 315.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.