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Finding the Fourth Proportional to 663.23, 915.50 and 401.25

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Solution

The fourth proportional to 663.23, 915.50 and 401.25 is: 553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.23 : 915.50 = 401.25 : x
  2. Step 2: Convert to fraction form
    663.23/915.50 = 401.25/x
  3. Step 3: Cross multiply
    663.23x = 915.50 × 401.25
  4. Step 4: Simplify right side
    663.23x = 367,342.37
  5. Step 5: Solve for x
    x = 367,342.37/663.23
  6. Step 6: Final answer
    x = 553.87

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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.