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Finding the Fourth Proportional to 665.52, 918.47 and 499.43

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Solution

The fourth proportional to 665.52, 918.47 and 499.43 is: 689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.52 : 918.47 = 499.43 : x
  2. Step 2: Convert to fraction form
    665.52/918.47 = 499.43/x
  3. Step 3: Cross multiply
    665.52x = 918.47 × 499.43
  4. Step 4: Simplify right side
    665.52x = 458,715.02
  5. Step 5: Solve for x
    x = 458,715.02/665.52
  6. Step 6: Final answer
    x = 689.26

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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.