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Finding the Fourth Proportional to 649.72, 973.67 and 341.72

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Solution

The fourth proportional to 649.72, 973.67 and 341.72 is: 512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.72 : 973.67 = 341.72 : x
  2. Step 2: Convert to fraction form
    649.72/973.67 = 341.72/x
  3. Step 3: Cross multiply
    649.72x = 973.67 × 341.72
  4. Step 4: Simplify right side
    649.72x = 332,721.51
  5. Step 5: Solve for x
    x = 332,721.51/649.72
  6. Step 6: Final answer
    x = 512.10

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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.