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Finding the Fourth Proportional to 463.61, 690.44 and 447.44

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Solution

The fourth proportional to 463.61, 690.44 and 447.44 is: 666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.61 : 690.44 = 447.44 : x
  2. Step 2: Convert to fraction form
    463.61/690.44 = 447.44/x
  3. Step 3: Cross multiply
    463.61x = 690.44 × 447.44
  4. Step 4: Simplify right side
    463.61x = 308,924.78
  5. Step 5: Solve for x
    x = 308,924.78/463.61
  6. Step 6: Final answer
    x = 666.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.