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Finding the Fourth Proportional to 663.94, 916.24 and 369.24

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Solution

The fourth proportional to 663.94, 916.24 and 369.24 is: 509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.94 : 916.24 = 369.24 : x
  2. Step 2: Convert to fraction form
    663.94/916.24 = 369.24/x
  3. Step 3: Cross multiply
    663.94x = 916.24 × 369.24
  4. Step 4: Simplify right side
    663.94x = 338,312.46
  5. Step 5: Solve for x
    x = 338,312.46/663.94
  6. Step 6: Final answer
    x = 509.55

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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.