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Finding the Fourth Proportional to 664.99, 918.49 and 541.14

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Solution

The fourth proportional to 664.99, 918.49 and 541.14 is: 747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.99 : 918.49 = 541.14 : x
  2. Step 2: Convert to fraction form
    664.99/918.49 = 541.14/x
  3. Step 3: Cross multiply
    664.99x = 918.49 × 541.14
  4. Step 4: Simplify right side
    664.99x = 497,030.48
  5. Step 5: Solve for x
    x = 497,030.48/664.99
  6. Step 6: Final answer
    x = 747.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.