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Finding the Fourth Proportional to 663.76, 916.01 and 401.63

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Solution

The fourth proportional to 663.76, 916.01 and 401.63 is: 554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.76 : 916.01 = 401.63 : x
  2. Step 2: Convert to fraction form
    663.76/916.01 = 401.63/x
  3. Step 3: Cross multiply
    663.76x = 916.01 × 401.63
  4. Step 4: Simplify right side
    663.76x = 367,892.01
  5. Step 5: Solve for x
    x = 367,892.01/663.76
  6. Step 6: Final answer
    x = 554.25

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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.