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Finding the Fourth Proportional to 649.89, 973.71 and 466.92

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Solution

The fourth proportional to 649.89, 973.71 and 466.92 is: 699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.89 : 973.71 = 466.92 : x
  2. Step 2: Convert to fraction form
    649.89/973.71 = 466.92/x
  3. Step 3: Cross multiply
    649.89x = 973.71 × 466.92
  4. Step 4: Simplify right side
    649.89x = 454,644.67
  5. Step 5: Solve for x
    x = 454,644.67/649.89
  6. Step 6: Final answer
    x = 699.57

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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.