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Finding the Fourth Proportional to 663.44, 915.57 and 401.67

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Solution

The fourth proportional to 663.44, 915.57 and 401.67 is: 554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.44 : 915.57 = 401.67 : x
  2. Step 2: Convert to fraction form
    663.44/915.57 = 401.67/x
  3. Step 3: Cross multiply
    663.44x = 915.57 × 401.67
  4. Step 4: Simplify right side
    663.44x = 367,757.00
  5. Step 5: Solve for x
    x = 367,757.00/663.44
  6. Step 6: Final answer
    x = 554.32

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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.