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Finding the Fourth Proportional to 663.86, 915.63 and 401.54

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Solution

The fourth proportional to 663.86, 915.63 and 401.54 is: 553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.86 : 915.63 = 401.54 : x
  2. Step 2: Convert to fraction form
    663.86/915.63 = 401.54/x
  3. Step 3: Cross multiply
    663.86x = 915.63 × 401.54
  4. Step 4: Simplify right side
    663.86x = 367,662.07
  5. Step 5: Solve for x
    x = 367,662.07/663.86
  6. Step 6: Final answer
    x = 553.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.