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Finding the Fourth Proportional to 663.45, 915.41 and 401.46

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Solution

The fourth proportional to 663.45, 915.41 and 401.46 is: 553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.45 : 915.41 = 401.46 : x
  2. Step 2: Convert to fraction form
    663.45/915.41 = 401.46/x
  3. Step 3: Cross multiply
    663.45x = 915.41 × 401.46
  4. Step 4: Simplify right side
    663.45x = 367,500.50
  5. Step 5: Solve for x
    x = 367,500.50/663.45
  6. Step 6: Final answer
    x = 553.92

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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.