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Finding the Fourth Proportional to 663.69, 915.83 and 506.43

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Solution

The fourth proportional to 663.69, 915.83 and 506.43 is: 698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.69 : 915.83 = 506.43 : x
  2. Step 2: Convert to fraction form
    663.69/915.83 = 506.43/x
  3. Step 3: Cross multiply
    663.69x = 915.83 × 506.43
  4. Step 4: Simplify right side
    663.69x = 463,802.00
  5. Step 5: Solve for x
    x = 463,802.00/663.69
  6. Step 6: Final answer
    x = 698.82

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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.