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Finding the Fourth Proportional to 663.66, 915.91 and 401.83

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Solution

The fourth proportional to 663.66, 915.91 and 401.83 is: 554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.66 : 915.91 = 401.83 : x
  2. Step 2: Convert to fraction form
    663.66/915.91 = 401.83/x
  3. Step 3: Cross multiply
    663.66x = 915.91 × 401.83
  4. Step 4: Simplify right side
    663.66x = 368,036.82
  5. Step 5: Solve for x
    x = 368,036.82/663.66
  6. Step 6: Final answer
    x = 554.56

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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.