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Finding the Fourth Proportional to 663.84, 916.16 and 369.13

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Solution

The fourth proportional to 663.84, 916.16 and 369.13 is: 509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 916.16 = 369.13 : x
  2. Step 2: Convert to fraction form
    663.84/916.16 = 369.13/x
  3. Step 3: Cross multiply
    663.84x = 916.16 × 369.13
  4. Step 4: Simplify right side
    663.84x = 338,182.14
  5. Step 5: Solve for x
    x = 338,182.14/663.84
  6. Step 6: Final answer
    x = 509.43

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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.